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A boat traveled upstream 90 miles at an average speed of : Problem Solving (PS) Sep 03, �� Subscribe Here myboat334 boatplans more cool math videos visit our site at myboat334 boatplans or myboat334 boatplans We are going to discuss the word problems based on upstream downstream concept.A boat goes 12 km upstream and 40 km downstream in 8 hours. It can go 16 km up. Practice Problems Solve each problem and check all solutions. Answer using a complete sentence. 1) A boat goes miles downstream in the same time it can go miles upstream. The speed of the current is 5 miles per hour. What is the speed of the boat in still water? Distance Rate Time Upstream Downstream.
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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 to A. You have to convert this to hours and apply in above equation. We are converting from minutes to hours because we are using speed values in km per hour units. It takes him twice as long to row up as to row down the river.

Find the rate of the stream. Solution: Step 1: Calculate upstream and downstream speeds. Based on our assumptions, you can easily calculate upstream and downstream speeds as shown below. In this type, you have to form linear equations based on conditions given. You have to solve those equations to find the answer. Example Question 5: Kavin can row 10 km upstream and 20 km downstream in 6 hours. Also, he can row 20 km upstream and 15 km downstream in 9 hours. Find the rate of the current and the speed of the man in still water.

Solution: You have to make below assumptions to form equations. Sample Boat-in-the-River Word Problem 1: A boy can row downstream 18 miles Upstream And Downstream Problems 4g in 2 hours, but it will take him 6 hours to return.

How fast can he row in still water, and what is the rate of the current? I always recommend starting by writing down the two essential algebraic distance equations to start:. The water is flowing at a rate of 3 miles per hour, while the boat is moving in still water at a rate of 6 miles per hour. Sample Boat-in-the-River Word Problem 2: A crew that can row 12 mph downstream finds that 2 miles downstream takes the same time as 1 mile upstream. Find the rate of the current.

Sample Boat-in-the-River Word Problem 3: A man can row downstream 3 times as fast as he can upstream. Find his rate in still water and the rate of the current.

This is a tricky Algebra problem in that we need to do some deduction in order to fill in some of the other parts. If he can row downstream 3 times as fast as he can upstream, the same distance upstream would take 3 times as long. Skip to main content. Write our two essential distance equations.

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