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Question

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
30 with downstream
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B
60 with downstream
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C
120 with downstream
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D
South
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Solution

The correct option is C 120 with downstream

For shortest possible path man should swim with an angle (90+θ) with downstream.
From the fig.
sinθ=vrvm=510=12
θ=30
So angle with downstream
90+30=120

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