A person can swim in still water at 5 m/s. He moves in a river of velocity 3 m/s. First down the stream next same distance up the stream the ratio of times taken are

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1 : 4

1 : 2

1 : 1

4 : 1

answer is C.

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Detailed Solution

$t_{1} = \frac{d}{V_{b} + V_{w}}, t_{2} = \frac{d}{V_{b} - V_{w}} \Rightarrow \frac{t_{1}}{t_{2}} = \frac{V_{b} - V_{w}}{V_{b} + V_{w}} = \frac{5 - 3}{5 + 3} = \frac{2}{8} = \frac{1}{4} \Rightarrow t_{1} : t_{2} = 1 : 4$

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