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, in kilometer per hour, is

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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, in kilometer per hour, is

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answer is 3.

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Detailed Solution

$t = \frac{d}{\sqrt{v_{b r}^{2} - v_{r}^{2}}} \frac{1}{4} = \frac{1}{\sqrt{5^{2} - v_{r}^{2}}} v_{r} = 3 k m / h r$

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