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A river is flowing from W to E with a speed of 5 m/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 south.

a
300 with downstream
b
600 with downstream
c
1200 with downstream
d
South

detailed solution

Correct option is C

For shortest possible path man should swim with an angle (90+θ)  with downstream.From the figure sinθ=vrvm=510=12⇒∴θ=300                             So angle with downstream = 900+300=1200

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