A man rows a boat such that the time taken to travel a certain distance upstream is double the time taken to cover the same distance downstream. If the boat's speed in still water is 42 km/h, what is the velocity of the current?

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Subject: Boats and Streamsmathematics-mcqs › boats-and-streams
Published: 22 Sept 2019
Last updated: 28 May 2026

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Explanation

Given that the upstream time is twice the downstream time, the ratio of upstream to downstream speeds is 1:2. Using the formula for speeds, (boat speed + stream speed) / (boat speed - stream speed) = downstream speed / upstream speed = 2. Solving for the stream speed with the boat speed at 42 km/h yields 14 km/h.

Practice related questions from the same subject.

1.A steamboat travels downstream from one harbor to another in 4 hours and returns upstream over the same distance in 5 hours. If the current's speed is 2 km/h, what is the distance between the two harbors?
2.A motorboat's speed is in the ratio 36:5 compared to the speed of the water current. If the boat takes 5 hours and 10 minutes to travel downstream, how long will it take to return upstream?
3.A boat travels at a speed of 5 km/h in still water. It covers 30 km upstream and then returns downstream to the starting point in a total of 4 hours and 30 minutes. What is the speed of the current?
4.A boat travels 30 km downstream in 2.5 hours and returns the same distance upstream in 3.75 hours. What is the boat's speed in still water?
5.A boat travels 24 km downstream in 10 hours, but takes 2 hours longer to cover the same distance upstream. What is the boat's speed in still water?
6.A boat travels 24 kilometers downstream in 4 hours, while it takes 6 hours to cover the same distance upstream. What is the speed of the boat in still water?
7.A person rows at a speed of 9 km/h in still water. He takes 4.5 hours to travel from point A to point B and back again. If the current flows at 1 km/h, what is the distance between points A and B?
8.A man rows a boat at 15 km/h in still water. If the river current flows at 3 km/h, how long will it take him to travel 60 meters downstream?

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A man rows a boat such that the time taken to travel a certain distance upstream is double the time taken to cover the same distance downstream. If the boat's speed in still water is 42 km/h, what is the velocity of the current?

Explanation

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