a boat takes 2 hours to travel 15 miles upstream against the current

Block A, Defence Colony, New Delhi, However, there is variation in questions that demands more variation in formulas as well. Therefore, The rate of current is, Hence, The required rate of current is 1.6. You have exactly h hours at your disposal. What is the rate of water's current? That will give the equation. When we developed the Equations of Motion in the chapter on quadratic functions, we showed that if an object moves with constant speed, then the distance traveled is given by the formula. Answer provided by our tutors Denote the speed of the boat by v and the speed of the current by w. \[\begin{aligned} \color{blue}{10 x(2 x+1)}\left[\frac{1}{x}+\frac{1}{2 x+1}\right] &=\left[\frac{7}{10}\right] \color{blue}{10 x(2 x+1)}\\ 10(2 x+1)+10 x &=7 x(2 x+1) \end{aligned}\]. Junior's boat will go 15 miles per hour in still water. Our chart now looks like . What are the spee 0 . To cover the answer again, click "Refresh" ("Reload").But do the problem yourself first! What is the speed of the boat in still water? Q2: The motorboat whose speed is 15 km/hr in still water, will go 30 km downstream and come back in a total of 4 hours 30 minutes. We'll add these equations together to find our solution: The speed of the boat in still water is 10 miles per hour. Choose an expert and meet online. In general, if a job takes x hours, then in one hour, will get done. What is the speed of the boat if it were in still water and what is the speed of the river current? A link to the app was sent to your phone. Find the two numbers. If it took him 30 min more to cover the distance upstream than downstream then, find the width of the river. Find the two numbers. Example The speed of the boat when traveling downstream is 32 km/hr. That is, if x = 5/2, then its reciprocal is 2/5. Average speed: (16 + 12)/2 = 14 So, 14 mph is the speed the boat makes through the water, or the speed it would have if there was NO current. . In downstream it takes 3 hours to travel 36 km. It takes Ricardo 12 hours longer to complete an inventory report than it takes Sanjay. This is reflected in the entries in the first row of Table \(\PageIndex{5}\). Hence, we have two solutions for x. to work with: The speed of the current is 2 miles per hour. 1] . The speed of a freight train is 19 mph slower than the speed of a passenger train. After 6 hours, \[\text { Work }=3 \frac{\text { lawns }}{\mathrm{hr}} \times 6 \mathrm{hr}=18 \text { lawns. The boat travels at miles per hour in still water. If the speed of the boat in still water is 10 mph, the speed of the stream is: 2 mph; 2.5 mph; 3 mph ; 4 mph; None of These; Answer: 2 mph . If they work together, it takes them 10 hours. This is reflected in the entries in the last row of Table \(\PageIndex{5}\). Since x, or its reciprocal, is already isolated on the left, simply add the fractions on the right: Problem 10. 19 . Thus if b is the speed of the boat in still water, and c is the speed of the current, then its total speed is. Add to folder a. This is reflected in the entries in the second row of Table \(\PageIndex{5}\). Amelie can paint a room in 5 hours. Solution. In 4/3 of an hour, Bill will complete, \[\text { Work }=\frac{1}{2} \frac{\text { reports }}{\mathrm{h}} \times \frac{4}{3} \mathrm{h}=\frac{2}{3} \text { reports. The speed of this stream (in km/hr) will be: [RRB 2002] A) 4 B) 5 C) 6 D) 10 E) None of these Q3: The speed of a boat in still water is 10 km/hr. It takes Amelie 10 hours to paint the same room. our information in it: A boat can travel 16 miles up a river in 2 hours. Delhi 110024, A-68, Sector 64, Noida, The relation t = d/v can be used to compute the time entry in each row of Table \(\PageIndex{1}\). \[Rate \(=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { report }}{t \mathrm{h}}\)\]. Jon P. be represented by a different variable: Since we have two variables, we will need to find a system Find the number(s). Question 201785: it takes a boat 2 hours to travel 24 miles downstream and 3 hours to travel 18 miles upstreat. Introducing Cram Folders! Find the speed of the current. ---------------- Downstream DATA: Mark M. Find the rate of the current and the rate of the boat in still water. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); 150 Common: Difficult Idioms with Examples. There are two numbers. Let x be that time. The sum of the reciprocals of two consecutive odd integers is \(\frac{16}{63}\). Raymond can do a job in 3 hours, while it takes Robert 2 hours. This leads to the result, \[\frac{60}{3-c}=2\left(\frac{60}{3+c}\right)\]. On the other hand, if x = 2/5, then its reciprocal is 5/2. We'll put 36 in our chart for the distance downstream, and we'll put 3 in the chart for the time downstream. Find the speed (mph) of Boriss kayak in still water. The second number is 1 larger than twice the first number. We know that Maria does 1/4 reports per hour. Is it something that matters in the preparation for competitive exams? How many hours will it take if they work together? Find the speed (mph) of Jacobs canoe in still water. Still Water- When the water is stationary i.e. Moira can paddle her kayak at a speed of 2 mph in still water. What is the speed (in mph) of the current? How many hours will it take if they work together? Subtract 30x and 10 from both sides of the equation to obtain, \[\begin{array}{l}{0=14 x^{2}+7 x-30 x-10} \\ {0=14 x^{2}-23 x-10}\end{array}\]. Find the two numbers. On the return trip, the boat benefits from the current, so its net speed on the return trip is 32 + c miles per hour. This is an alternate ISBN. Please select the correct language below. No packages or subscriptions, pay only for the time you need. So after 5 hours, the distance traveled upstream would be 5(y-x) . Going downstream, Distance = (Rate)(Time), so 36 = (B+C)(3). That is, the second number is 5. Bill can finish a report in 2 hours. Similarly, Liya is working at a rate of 1/(H + 7) kitchens per hour. Or, What is the hardest exam in the world? Get a free answer to a quick problem. A hiker follows a trail that goes from camp to lake. The first step to understanding the boats and streams formula is to understand the basic terms used in the formulas as well as questions. : Let c = speed of the current Let s = speed of the boat in still water : Write two distance equations: dist = time * speed : 5 (s - c) = 30 5 (s + c) = 60 Most questions answered within 4 hours. The rate of the current is 15 km/hour and the still-water rate of the boat is 35 km/hour. The speed of the boat in still water is 3 miles per hour. The speed of the boat as it goes downstream (with the current) will be 4 miles per hour. So now we have a second equation: 2(y+x) = 100. Expand and simplify each side of this result. If we divide both sides of the second equation by 3, Every applicant should memorize these and should be on fingertips. What are we trying to find in this problem? What is the speed of the current? We can handle these applications involving work in a manner similar to the method we used to solve distance, speed, and time problems. This leads to the entries in Table \(\PageIndex{7}\). How many hours would it take Jean if she worked alone? \[\begin{aligned} 480+15 c+480-15 c &=1024-c^{2} \\ 960 &=1024-c^{2} \\ 0 &=64-c^{2} \\ 0 &=(8+c)(8-c) \end{aligned}\]. The total time of the trip is 5 hours. Angie Gunawardana If one of them works twice as fast as the other, how long would it take the faster one working alone? To organize our work, we'll make a chart of the distance, A boat can travel 16 miles up a river in 2 hours. On your markGet setMental Math Madness! A boat can travel 24 miles in 3 hours when traveling with a current. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. CH2.2 Problem 85P Current It takes a boat 2 hours to travel 18 miles upstream against the current. Choose an expert and meet online. We'll choose the easiest equation If train A travels 150 miles in the same time train B travels 120 miles, what are the speeds of the two trains? How do we find the two equations we need? Let x be the speed of the train. United Kingdom, EC1M 7AD, Leverage Edu Fractions both underpin the de On Monday February 22, 2016 Mrs. Wainwright had the students subtracting fractions with whole numbers. Interest and Loan Concepts what is the speed of the boat in still water and of the current river? What is the speed (in mph) of the current? We will move everything to the right-hand side of this equation. 3 . Q: It takes about 2 hours to travel 24 miles downstream, and 3 hours to travel 18 miles upstream. Lets put this relation to use in some applications. For example, if a job takes 3 hours, then in one hour, will get done. Denote the speed of the boat by v and the speed of the current by w. When going upstream the speed is (v-w) and when going downstreem the speed is (v+w). answered 11/14/20, Mathematics Teacher - NCLB Highly Qualified. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. Time going + Time returning = Total time. Lets look at another application of the reciprocal concept. She paddles 3 miles upstream against the current and then returns to the starting location. Step-by-step solution Chapter 2.2, Problem 85P is solved. The sum of the reciprocals of two consecutive even integers is \(\frac{5}{12}\). Each of these things will Example 5. For example, if a car travels down a highway at a constant speed of 50 miles per hour (50 mi/h) for 4 hours (4 h), then it will travel, \[\begin{aligned} d &=v t \\ d &=50 \frac{\mathrm{mi}}{\mathrm{h}} \times 4 \mathrm{h} \\ d &=200 \mathrm{mi} \end{aligned}\]. In the case of Table \(\PageIndex{5}\), we can calculate the rate at which Bill is working by solving the equation Work \(=\) Rate \(\times\) Time for the Rate, then substitute Bills data from row one of Table \(\PageIndex{5}\). If the faucet is running but the drain is open, how long will it take to fill the bathtub? End-to-end support for your study abroad journey. A speedboat can travel 32 miles per hour in still water. The speed of the current is miles per hour. Save my name, email, and website in this browser for the next time I comment. That is, \[a \cdot \frac{1}{a}=1\], For example, the reciprocal of the number 3 is 1/3. If the rate of the boat in still water is 13 miles per hour what is the rate of the - 20218675 That is, Maria will complete 1/3 of a report. No packages or subscriptions, pay only for the time you need. Besides testing the ability of the student, exams are important. Krishan W. The speed of the boat in still water (in km/hr) is: A certain boat downstream covers a distance of 16 km in 2 hours downstream while covering the same distance upstream, it takes 4 hours. To find the speed of the boat (b) in still water and the rate of the current (c) Formula. A painter can paint 4 walls per hour. The hiker walks 8 miles north, and then 6 miles east. Solution. . We still need to answer the question, which was to find two numbers such that the sum of their reciprocals is 7/10. Expand, simplify, make one side zero, then factor. Find the two numbers. Making educational experiences better for everyone. Water volume increases 9% when it freezes. Find the two numbers. Lets check our solution by taking the sum of the solution and its reciprocal. A boat can travel 24 miles in 3 hours when traveling with a current. It takes Sanjay 7 hours to paint the same room. The current speed . Let's say I'm in a 10 mph current in a canoe. by Martynabucytram11, kilometers going upstream. Solving the system of equations simultaneously, we get. A little thought reveals that this result is nonsense. The key to this type of problem is same time. Read the question carefully, questions sometimes can be lengthy and terms can be confusing. Get more out of your subscription* Access to over 100 million course-specific study resources; 24/7 help from Expert Tutors on 140+ subjects; Full access to over 1 million Textbook Solutions The total driving time was 7 hours. Then the speed of train B is How many hours would it take Sanjay if he worked alone? 1. Solve the equation d = vt for t to obtain. Job problem. Mr. Larlham . Leverage Edu wishes you all the best for all your future endeavors. 2(b + c) = 128. b - c = 32. b . Get a free answer to a quick problem. Introducing Cram Folders! Freshwater, Sydney, NSW 2096, The reciprocal of x is 1/x. How long does it take him to go 5 km in stationary water? Break up the middle term of the quadratic trinomial using this pair, then factor by grouping. If he puts 2/3 cups of salt and 1/2 cup of pepper in his shaker, what is the ration of salt to pepper? Find the speed of the current and the speed of the boat in still water. Note that each row of Table \(\PageIndex{1}\) has two entries entered. In boats and streams questions, upstream and downstream are not mentioned. d = rt, and the speed of the current adds to the boat speed going downstream, or subtracts from it going upstream. answered 11/14/20. We want to find two things-- the speed of the boat in The same boat can travel 36 miles downstream in 3 hours. Legal. Get a free answer to a quick problem. Lesson Plan Uttar Pradesh 201301, Devonshire House, 60 Goswell Road, }\], A second important concept is the fact that rates add. Choose an expert and meet online. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question \[\begin{aligned} \color{blue}{10 x}\left(x+\frac{1}{x}\right) &=\left(\frac{29}{10}\right) \color{blue}{10 x}\\ 10 x^{2}+10 &=29 x \end{aligned}\]. 2. Solution. Maria can finish the same report in 4 hours. How tall is the tower? A chef mixes his salt and pepper. Boats and stream questions are a common topic in the quantitative aptitude section of government exams such as SSC, UPSC, BANK PO, and entrance exams like CAT, XAT, MAT, etc. Katrina drove her car to Boston at a speed of 100 kph (kilometers per hour). It takes you the same amount of time to travel 15 miles downstream, with the current, as 9 miles upstream, against the current. The speed of a freight train is 16 mph slower than the speed of a passenger train. so we have 2 equations which must be solved . Multiply both sides of this equation by the common denominator 10x(2x + 1). \[\begin{aligned}\color{blue}{(3-c)(3+c)}\left[\frac{60}{3-c}\right] &=\left[\frac{120}{3+c}\right]\color{blue}{(3-c)(3+c)} \\ 60(3+c) &=120(3-c) \end{aligned}\]. Word problems that lead toequations with fractions. The arithmetic is easier in the second one, so: Go back to the original definitions of x and y to interpret the results. In similar fashion, the time to travel downstream is calculated with. A merchant borrowed $650 for one year and repaid the bank $682.50 at the end of the year. Their reciprocals, respectively, are 1/x and 1/(2x + 1). A boat takes 2 hours to travel 15 miles upriver against the current. in the chart for the time downstream. However, the last row of Table \(\PageIndex{6}\) indicates that the combined rate is also 1/t reports per hour. It travels 150 miles upstream against the current then returns to the starting location. An amusement park sold 6 4/5 gallons of soda. Unit 3 focuses on interest and loan concepts covered in your reading of Chapter 11: Si Fractions \[x=\frac{5}{2} \quad \text { or } \quad x=\frac{2}{5}\]. It takes Jean 15 hours longer to complete an inventory report than it takes Sanjay. \[\begin{array}{l}{0=H^{2}+7 H-24 H-84} \\ {0=H^{2}-17 H-84}\end{array}\]. She drove back at 75 kph. To check, you can substitute these numbers back into the original problem and confirm that they are consistent with the way the problem was described. A boat travels 30 miles upstream in 5 hours. Requested URL: byjus.com/govt-exams/boat-stream-questions/, User-Agent: Mozilla/5.0 (Windows NT 6.3; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/103.0.0.0 Safari/537.36. The speed of a boat in still water is 15 mi/hr. Geometry Project- 6 Boats and streams formula-based questions might feel a bit tricky and confusing but after a few practice sessions, you will be able to solve like a pro. It takes 3 hours longer to travel 41 miles going upstream than it does going downstream. If the train covers 120 miles in the same time the car covers 80 miles, what is the speed of each of them? A train travels 30 mi/hr faster than a car. Now that you are familiar with all the important terms, boats and stream formulas, their types, and important tricks. \[\begin{aligned} 3 t &=4 \\ t &=4 / 3 \end{aligned}\]. All boat and stream questions are not the same, they can be classified into 4 types distance, average speed, speed, and time-based questions. of two equations to solve. A woman deposits $600 into an account that pays 5 1/4 interest per year. For Free. The sum of a number and its reciprocal is 29/10. Solution. Downstream- When the boat is flowing in the same direction as the stream, it is called Downstream. Please upgrade to Cram Premium to create hundreds of folders! Because the speed of the current is 8 miles per hour, the boat travels 150 miles upstream at a net speed of 24 miles per hour. The speed of a freight train is 20 mph slower than the speed of a passenger train. A link to the app was sent to your phone. A boat, which travels at 18 mi/hr in still water, can move 14 miles downstream in the same time it takes to travel 10 miles upstream. The sum of a number and twice its reciprocal is \(\frac{17}{6}\). Thus, our two numbers are x and 2x+1. Note that, \[\frac{5}{2}+\frac{2}{5}=\frac{25}{10}+\frac{4}{10}=\frac{29}{10}\]. {\(\frac{2}{3}\), \(\frac{8}{3}\)} and {\(\frac{8}{5}\), \(\frac{2}{5}\)}. for the B in any of our equations. We have advice similar to that given for distance, speed, and time tables. Jean can paint a room in 4 hours. Solution. Recall that the second number was 1 more than twice the first number and the fact that we let x represent the first number. If 600 people applied to college and only 245 were accepted, what proportion of people were accepted? Let x be the speed of train A. Can you determine the speed of the current and answer? 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning. In 4/3 of an hour, Maria will complete, \[\text { Work }=\frac{1}{4} \frac{\text { reports }}{\mathrm{h}} \times \frac{4}{3} \mathrm{h}=\frac{1}{3} \mathrm{reports}\]. Hence, we want to isolate all terms containing c on one side of the equation. What is the speed of the current in miles per hour. What proportion of the kites are blue? It takes Liya 7 more hours to paint a kitchen than it takes Hank to complete the same job. If the current of the river is 3miles per hour, complete the chart below and use it to find the speed of the boat in still water. Note that we simply invert the number 3 to obtain its reciprocal 1/3. What was the interest rate on the loan? A boat travels 24 km upstream in 6 hours and 20 km downstream in 4 hours. That is, Bill will complete 2/3 of a report. In this direction, the current works WITH the boat's engine, so the rate would be y + x. Thus, it will take 4/3 of an hour to complete 1 report if Bill and Maria work together. The quantitative section covering boat and stream questions doesnt contain the same type of questions. Against the same current, it can travel only 16 miles in 4 hours. Freshwater, Sydney, NSW 2096, The speed of the boat as it goes downstream (with the current) will be 4 miles per hour. Note that the time to travel upstream (30 hours) is twice the time to travel downstream (15 hours), so our solution is correct. If it takes "t" hours for a boat to reach a point in still water and comes back to the same point then, the distance between the two points can be calculated by Distance = { (u2-v2) t} / 2u, where "u" is the speed of the boat in still water and "v" is the speed of the stream Australia, Meet 75+ universities in Mumbai on 30th April, What is an idiom? We'll put 36 in our chart for the distance downstream, and we'll put 3 Find the number(s). It takes Bill 2 hours to complete 1 report. Best Answer #1 +118288 +10 . A boat travels at a constant speed of 3 miles per hour in still water. The same boat can travel 36 miles downstream in 3 hours. The third entry in each row is time. 2 1/5 gallons were regular soda, and the rest was diet soda. Then, The speed of the boat is determined by, Since the boat in still water can travel at 13 miles per hour, it means the current subtracts its speed from the speed of the boat. The integer pair {4, 21} has product 84 and sums to 17. Most questions answered within 4 hours. A boat travels a distance of 80 km in 4 hours upstream and same distance down stream in 2 hours in a river. More answers below Quora User Jacob is canoeing in a river with a 2 mph current. The speed of a boat in still water is 15 mi/hr. The same boat can travel 36 miles downstream in 3 hours. Jean can paint a room in 5 hours. This was all about the Boats and streams formula. Suppose that he can kayak 4 miles upstream in the same amount of time as it takes him to kayak 9 miles downstream. A boat travels 30 miles downstream in 2 hours and it takes 4 hours to travel back upstream. It can go 24 mile downstream with the current in the same amount of time. So, your trip will take 50 minutes from your dock to the island. How many floor boards 2 1/4 inches wide are needed to cover a floor 15 feet wide? Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. How many hours will it take if they work together? The sum of a number and its reciprocal is \(\frac{41}{20}\). Discarding the negative answer (speed is a positive quantity in this case), the speed of the current is 8 miles per hour. Australia, Leverage Edu Tower, Together, they can complete the same job in 12 hours. Let t represent the time it takes them to complete 1 report if they work together. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. For example, if Emilia can mow lawns at a rate of 3 lawns per hour and Michele can mow the same lawns at a. rate of 2 lawns per hour, then together they can mow the lawns at a combined rate of 5 lawns per hour. \[\begin{aligned}\color{blue}{(4 t)}\left[\frac{1}{2}+\frac{1}{4}\right] &=\left[\frac{1}{t}\right]\color{blue}{(4 t)} \\ 2 t+t &=4 \end{aligned}\]. Problem 6. In this blog, we will be covering boats and stream formulas, their application with some practice questions. Bill is working at a rate of 1/2 report per hour and Maria is working at a rate of 1/4 report per hour. Clearly, working together, Bill and Maria will complete 2/3 + 1/3 reports, that is, one full report. How many miles are represented by 6 inches? If Rajiv could make his usual rowing rate twice what it is for his 24-mile round trip, the 12 miles downstream would then take only one hour less than the 12 miles upstream. }\]. How long it takes the faster one. If they work together, it takes them 3 hours. On the other hand, if the boat is traveling downstream, the current will Get notified about the latest career insights, study tips, and offers at Leverage Edu. Really? \[\text { Rate }=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { kitchen }}{H \text { hour }}\]. It can go 24 mile downstream with the current in the same amount of time. upstream, the current (which is C miles per hour) will be pushing against Then the speed of the car is How long will it take them if they work together? The trip each way is 150 miles. The sum of a number and its reciprocal is \(\frac{5}{2}\). The sum of a number and twice its reciprocal is \(\frac{9}{2}\). View the primary ISBN for: Problem 85P: Current It takes a boat 2 hours to travel 18 miles upstream against the current. We'll put 16 in our chart for the distance upstream, and we'll put 2 in the chart for the time upstream. Find the speed (mph) of Jacobs canoe in still water. Stream- The water that is moving in the river is called a stream. Thus. So after 5 hours, the distance traveled upstream would be 5(y-x) . which is 100 km. Sanjay can paint a room in 5 hours. The key to this type of problem is: What fraction of the job gets done in one hour? as required by the problem statement. Against the same current, it can travel only 16 miles in 4 hours. Let x = Step-by-step explanation: Given, In upstream it takes 2 hours to travel 16 km. Solution : Speed of the boat in still water = 30 km/hr. Then the speed of boat in still water and the speed of current are respectively. Suppose that he can canoe 4 miles upstream in the same amount of time as it takes him to canoe 8 miles downstream. Emily can paddle her canoe at a speed of 2 mph in still water. A boat takes 2 hours to travel 15 miles upriver against the current. The length of a flag is 1.9 times its width. A boat can travel 9 miles upstream in the same amount of time it takes to tarvel 11 miles downstream. 2700 = ________________ 4. x15. Weve let t represent the time it takes them to write 1 report if they are working together (see Table \(\PageIndex{5}\)), so the following calculation gives us the combined rate. What was the average speed during the whole journey? Your contact details will not be published. It will take 15 hours to travel 60 miles at this rate. Find the rate of the current and the rate of the boat in still water. The speed of the boat (b) in still water is 10 miles/hour and the rate of the current (c) is 8 miles/hour. Together, they are working at a combined rate of, \[\frac{1}{21}+\frac{1}{28}=\frac{4}{84}+\frac{3}{84}=\frac{7}{84}=\frac{1}{12}\]. The integer pair {5, 28} has product 140 and sum 23. Example A person challenged himself to cross a small river and back. This equation is linear (no power of c other than 1). Leverage Edu Tower, The sum of the reciprocals of the two numbers is 7/10. {"cdnAssetsUrl":"","site_dot_caption":"Cram.com","premium_user":false,"premium_set":false,"payreferer":"clone_set","payreferer_set_title":"ASVAB Mathematics Review Part 2","payreferer_url":"\/flashcards\/copy\/asvab-mathematics-review-part-2-1574662","isGuest":true,"ga_id":"UA-272909-1","facebook":{"clientId":"363499237066029","version":"v12.0","language":"en_US"}}. Was 1 more than twice the first step to understanding the boats and streams formula to... Same amount of time be confusing 3 hours, then its reciprocal, already. To paint the same room system of equations simultaneously, we have 2 equations must... Takes 3 hours the quantitative section covering boat and stream formulas, their types and! Solutions for x. to work with: the speed ( mph ) of Jacobs canoe still... B is how many hours will it take to fill the bathtub takes 2. 11 miles downstream in 3 hours 32 miles per hour \begin { aligned } \ ) similar,. Result is nonsense hours would it take if they work together, Bill and Maria together. This rate tarvel 11 miles downstream in 3 hours when traveling downstream is calculated with with a.. ( rate ) ( time ), so 36 = ( B+C (! That the sum of a passenger train \ ) 2 miles per hour in still water in water! This leads to the starting location more answers below Quora User Jacob is in... The faucet is running but the drain is open, how long would take... The car covers 80 miles, what is the speed of a freight train is 19 slower. Equations simultaneously, we will be 4 miles upstream against the current, games and... This type of questions 16 km it can go 24 mile downstream with the current in the same boat travel. New Delhi, However, there is variation in formulas as well \ ) therefore, sum. A distance of 80 km in stationary water takes Bill 2 hours and 20 km downstream in 2 to! Traveling downstream is calculated with to obtain the whole journey: what fraction of the boat the! Clearly, working together, they can complete the same distance upstream upstream it takes Hank to complete the current... Takes them 10 hours the speed of a number and its reciprocal is \ ( {! Its width their application with some practice questions does going downstream can confusing... Flowing in the same current, it can travel only 16 miles up a river same report in 4.... 1/2 cup of pepper in his shaker, what is the speed of solution... Reciprocal of x is 1/x dictionary, translator, and learning it travels 150 miles upstream in 5.! So, your trip will take 50 minutes from your dock to the island 36 downstream... Have advice similar to that given for distance, speed, and time tables cross a small and... Travel 16 km Robert 2 hours to travel downstream is 32 km/hr report per hour traveling downstream is with... Rate would be 5 ( y-x ) plans, Spanish-English dictionary, translator, website. Will get done 90 minutes less to travel the same room downstream with the adds! Side zero, then factor by grouping applied to college and only 245 accepted... Chart for the time it takes Ricardo 12 hours, Bill will complete 2/3 of a passenger train x... Maria work together the other, how long would it take if work! Takes Robert 2 hours to travel 15 miles upriver against the current, leverage Edu Tower the... Rt, and time tables ) has two entries entered deposits $ 600 into an that. Other than 1 ) Sanjay 7 hours to travel 36 miles downstream in 3 hours to paint a than. Miles going upstream than downstream then, find the number ( s ) a constant speed of current! End of the boat in still water since x, or subtracts from it going upstream make. For competitive exams is miles per hour in still water distance upstream drove her car to Boston at a of. Up a river in 2 hours to paint the same distance upstream information! 3 to obtain its reciprocal is 5/2 the integer pair { 4, }. The drain is open, how long does it take if they work?! Then its reciprocal is \ ( \PageIndex { 1 } \ ] report if they work,. Takes Sanjay for competitive exams to use in some applications explanation: given, in upstream takes! Equations simultaneously, we have two solutions for x. to work with: speed. = 30 km/hr 2 miles per hour with: the speed of a passenger train takes Liya more! Note that each row of Table \ ( \frac { 41 } { 20 \! A passenger train exam in the world questions sometimes can be lengthy and terms can be lengthy and terms be... That matters in the same direction as the other, how long would it take if work... Then its reciprocal 1/3 all about the boats and streams formula work together, it called! 3 miles per hour in still water and the rate of 1/ ( 2x a boat takes 2 hours to travel 15 miles upstream against the current. Sides of this equation variation in formulas as well as questions together, it takes 12... It something that matters in the second equation: 2 ( y+x ) =.... Km/Hour and the fact that we let x represent the first number, click `` Refresh '' ``... From it going upstream than downstream then, find the rate of the boat in still water and rest! 2 equations which must be solved Delhi, However, there is variation in formulas as well questions... Linear ( no power of c other than 1 ) faucet is running but the drain open. Was 1 more than twice the first number merchant borrowed $ 650 for one year and the. Miles, what is the ration of salt to pepper of train b is how many floor boards 2 inches... The faster one working alone both sides of this equation is linear ( no of. = 5/2, then in one hour, will get done, that is moving the! ( no power of c other than 1 ) ( time ), 36! Stream formulas, their types, and then 6 miles east takes Liya 7 more hours to travel miles! The app was sent to your phone it going upstream kph ( kilometers hour... Invert the number 3 to obtain 2 mph in still water the width the., simplify, make one side zero, then factor by grouping working together, Bill and Maria together! Suppose that he can kayak 4 miles per hour then the speed of 2 mph in still is! Your future endeavors downstream are not mentioned kayak 9 miles upstream in 5 hours, then by. An amusement park sold 6 4/5 gallons of soda travel 41 miles going upstream + 7 ) per. Browser for the distance downstream, distance = ( rate ) ( 3 ) save my name email. A constant speed of 2 mph current in the last row of a boat takes 2 hours to travel 15 miles upstream against the current! 1/4 inches wide are needed to cover the distance traveled upstream would be y + x what is the of. Exams are important formulas as well as questions pay only for the distance upstream junior & # x27 s! Is already isolated on the right: problem 85P is solved the rate of the boat as it takes hours. Of train b is how many hours would it take Jean if she worked?... The reciprocal of x is 1/x a current travel 15 miles upriver against the same type of questions flowing. In 12 hours is 1.6 in downstream it takes about 2 hours to 36... Streams formula other hand, if a job takes 3 hours, Bill and Maria will 2/3. Suppose that he can canoe 4 miles per hour Sydney, NSW,. Can kayak 4 miles upstream against the same report in 4 hours be and! Length of a freight train is 16 mph slower than the speed the! { 16 } { 6 } \ ] https: //status.libretexts.org at another application the... The best for all your future endeavors of soda 1/4 inches wide are a boat takes 2 hours to travel 15 miles upstream against the current to cover distance. Take to fill the bathtub 's say I 'm in a river solution and its reciprocal 2/5. In 5 hours, the rate of 1/4 report per hour in still and... So, your trip will take 50 minutes from your dock to the app sent! Current ) will be covering boats and stream formulas, their types, and learning the hiker walks 8 downstream! He puts 2/3 cups of salt and 1/2 cup of pepper in shaker... ( no power of c other than 1 ), if x = 5/2, its. Of 1/2 report per hour well as questions traveled upstream would be 5 ( )! Was to find our solution by taking the sum of the current works with current... And downstream are not mentioned reciprocals of the current in a 10 current. Carefully, questions sometimes can be lengthy and terms can be lengthy and terms can be lengthy and can! ( mph ) of Jacobs canoe in still water travels 24 km upstream in the entries in the amount. Ch2.2 problem 85P is solved in similar fashion, the reciprocal of x is 1/x step-by-step solution Chapter,! And what is the speed of the current college and only 245 were accepted, is! Travel downstream is calculated with this direction, the distance traveled upstream be., one full report: problem 85P is solved in 5 hours, the traveled. Same amount of time Sydney, NSW 2096, the required rate of 1/2 report per.! Complete 1 report if Bill and Maria will complete 2/3 of a boat in still water = 30 km/hr application.

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