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Question

A boat man could row his boat with a speed 10 m/sec. He wants to take his boat from P to a point Q just opposite on the other bank of the river flowing at a speed 4 m/sec. He should row his boat–

A
At right angle to the stream
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B
At an angle of sin1(25) with PQ up the stream
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C
At an angle of sin1(25) with PQ down the stream
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D
At an angle of cos1(25) with PQ down the stream
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Solution

The correct option is B At an angle of sin1(25) with PQ up the stream

Let vb be the velocity of the boat w.r.t. the river
sin θ=vsvb
θ=sin1(410)
θ=sin1(25) with PQ up the stream.

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