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A river is flowing from W to E with a speed of 5m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so as to take the shortest possible path to go to the

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South

$120^{\circ}$ with downstream

$60^{\circ}$ with downstream

$30^{\circ}$ with downstream

answer is C.

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Detailed Solution

solution

For shortest possible path man should swim with an angle (90+θ) with downstream.

From the fig.

sinθ = ν_r/ν_m = 5/10 = 1/2

⇒ θ = 30⁰

So angle with downstream :

=90⁰+30⁰= 120⁰

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