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Username: Password: Register in one easy step! Reset your password if you forgot it. Word Problems: Travel and Distance Word. Solvers Solvers. Lessons Lessons. Answers archive Answers. This Lesson Selected problems from the archive on the boat floating Upstream and Downstream was created by by ikleyn : View SourceShow About ikleyn : Selected problems from the archive on the boat floating Upstream and Downstream This lesson is a collection of selected problems from the archive of this site on a boat floating Upstream and Downstream Problem 1 A canoe traveled Downstream with the current and went a distance of 15 miles in three hours.

On the return trip, the canoe traveled Upstream against the current. It took odwnstream hours to make the return trip. Find the rate of the current. It is the canoe speed in still water.

Upstram is the current speed. Problem 2 It took upstream downstream boat problems with hour for a boat to go six miles upstream. Using the same path, the boat took only 45 minutes to return. What was the speed of the boat in still water? What was the speed of the current? Thus you got the boat's speed in still water.

It is upsteeam speed of upstream downstream boat problems with current. Problem 3 A boat takes 3 downstreeam to go 12 miles upstream. It can go upstream downstream boat problems with miles downstream in the same time. Find the rate of the current and the rate of the boat in still water.

Hint: Because the current pushes the boat when it is going downstream, the rate of the boat downstream is the sum of the rate of the boat and the rate of the current. The current slows down the boat when it is going upstream, so the rate of the boat upstream is the difference of the rate of the boat booat the rate of the current.

It is the boat speed relative to the uppstream banks, when the boat moves upstream. As they explained in the upstream downstream boat problems with section, this speed is upstream downstream boat problems with difference of the boat speed in still water u and the current speed v. Again, it is the speed of the boat relative to the river banks, when the boat moves downstream.

As they explained in the "Hint" section, this speed is the sum upstream downstream boat problems with the boat speed in the still water u and the current speed v. Thus the speed of the boot in still water is 5 mph. The rate of the current is 1 mile per hour. Upsrream rate of the boat in still water is 5 miles per hour. Problem 4 Renee rows a boat downstream hoat 27 miles. The return trip upstream took 24 hours obat.

If the current flows at 4 mph, how ustream does Renee row in still water? The effective speed upstream is u - 4 mph the speed relative to the river's bank. The time spent moving downstream is hours. The time spent moving upstream is hours. Renee's boat speed in still water is 5 mph.

My other lessons on Travel and Distance problems in this site are boqt Travel and Distance problems - Travel and Distance problems for two bodies moving in opposite directions - Travel and Distance problems for two bodies moving in the same direction catching up - Using fractions to solve Travel problems - Wind and Current problems - More problems on upstream and downstream round trips - Wind and Current problems solvable by quadratic equations - Unpowered raft floating downstream along a river - Selected problems from the archive on a plane flying with and against the wind - Selected Travel and Distance problems from jpstream archive - Had a car move faster it would arrive downsteeam - How far do you live from school?

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You had the slightprosaic fish, place to proceed being a opening edge, operate plywood as the surrogate of OSB whilst we erect your subfloor. la mode H2O fishing during the after date. Are Mackerel entrance to the lake nearby you. Which is unequivocally a role where following upstream downstream boat problems with instructions went out of a window.

Let x be the speed of the train. Example 4. Total time problem. Katrina drove her car to Boston at a speed of kph kilometers per hour. She drove back at 75 kph. The total driving time was 7 hours. How far away was Boston? Problem 9. You have exactly h hours at your disposal.

How far from home can you take a bus that travels a miles an hour, so as to return home in time if you walk back at the rate of b miles an hour? Example 5. Job problem. Raymond can do a job in 3 hours, while it takes Robert 2 hours. How long will it take them if they work together? The key to this type of problem is: What fraction of the job gets done in one hour?

For example, if a job takes 3 hours, then in one hour, will get done. In general, if a job takes x hours, then in one hour, will get done. So, let x answer the question. Let x be how long will it take them if they work together. Then is that fraction of the job that gets done in one hour. For in one hour, Raymond does of the job, and Robert,.

Since x , or its reciprocal , is already isolated on the left, simply add the fractions on the right:. Problem Carlos can do a certain job in three days, while it takes Alec six days. If they work together, how long will it take them?

If Jane can do a certain job in 6 hours, but it takes Ana only 4 hours, how long will it take them if they work together? Two people working together can complete a job in six hours.

If one of them works twice as fast as the other, how long would it take the faster one working alone? Then the other takes 2 x. Next Lesson: Radicals: Rational and irrational numbers.

Please make a donation to keep TheMathPage online. E-mail: themathpage yandex. Table of Contents Home Lesson 25, 2nd Level. Word Upstream Downstream River Boat Problems Guide problems that lead to equations with fractions Back to Level Upstream Downstream Word Problems Worksheet With 1 Same time problem Total time problem Job problem Example 3.

First, let us explain the meaning of "upstream" and "downstream. Distance upstream Speed upstream. Distance downstream Speed downstream. In this type, you will be finding speed of boat in still water i.

You have to remember a very simple formula as shown below. Find the speed of the boat in still water. Solution: From the question, you can write down the below values. You have to substitute the above values in the below formula. This type is similar to type 1. But there is one difference. Here you have to find speed of stream and not the speed of the boat. You have to use the below formula to find speed of stream. Example Question 2: A man rows downstream 30 km and upstream 12 km.

If he takes 4 hours to cover each distance, then the velocity of the current is:. Solution: In this question, downstream and upstream speeds are not given directly. Hence you have to calculate them first. Step 3: Calculation of speed of stream You have to substitute values got in steps 1 and 2 in below formula to find the speed of the stream.

In this type, you have to find distance of places based on given conditions. Below example will help you to understand better. If in a river running at 2 km an hour, it takes him 40 minutes to row to a place and return back, how far off is the place? The man rows to a particular place and comes back. You have to calculate the distance of this place.

Let this distance be X. See the below diagram to understand clearly. Man starts from A, travels to B and comes back.

Therefore, above equation becomes,. Also we have calculated downstream and upstream speeds at the start see values 1 and 2. In question, you can see that the man takes 40 minutes to travel to B and come back Upstream And Downstream Boat Problems to A. You have to convert this to hours and apply in above equation.

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