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Q.

A boat, which has a speed of 5 km/hr in still water, crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water is _________kmph.

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Detailed Solution

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Velocity of Swimmer wrt to ground, $v_{S} = \frac{w i d t h o f r i v e r}{t i m e t a k e n} = \frac{1}{\frac{1}{4}} = 4 k m / h r$

Velocity of river, $v_{R} = \sqrt{{v_{S R}}^{2} - {v_{S}}^{2}} = 3 k m / h r$

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