A swimmer can swim in still water with a speed of underoot 5 m/s. While crossing a river his average speed is 3m/s . If he crosses the river in shortest possible time, what is the speed of flow of water?

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Bhavin Pattni

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2 m/s
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B.TECH in Civil Engineering from IIT-BHU, Varanasi.

2m/s
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mathmagician

2 m/s
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Maths Educator

2 m/s
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its 2 m/s
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2m/s
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Physics & Maths

For shortest possible time, he should attempt to swim in perpendicular (to the length of river) direction. And he will be swayed by the flow of river. 5 + n^2 = 3^2 ... yielding n = 2 m/s
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