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A boat covers a certain distance downstream in 90 minutes. If the ratio of the speed of the boat in still water to the speed of the stream is 3:1, then find the time taken by the boat to cover the same distance upstream.

1. 2.5 hours
2. 3.5 hours
3. 3 hours
4. 1.5 hours

Correct answer: 3 hours

Solution

Let the speed of the boat in still water be 3x and the speed of the stream be x. Then downstream speed = 4x and upstream speed = 2x, so upstream speed is half of downstream speed. Therefore, the time taken upstream is double the downstream time, i.e. 180 minutes = 3 hours.

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