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Crossing the River(Minimum Time)

A man is capa...

Question

A man is capable of swimming at $10 m/s$ in still water. If he has to cross a river flowing at $5 m/s$ and reach the opposite shore in the least possible time, how far along the river will he drift if distance between the two shore is $100 m$ .

A

5 m

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B

10 m

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C

50 m

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D

100 m

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Solution

The correct option is C $50 m$

drift $= V_{r g} \times \frac{100}{V_{m r}} = 5 \times \frac{100}{10} = 50 m$ .

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