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Question

A river is flowing from east to west at a speed of 5 m/min. A man on south bank of river, capable of swimming 10 m/min in still water, wants to swim across the river in shortest time. He should swim,

A
Due north-east with double the speed of river
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B
Due north-east
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C
Due north
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D
none of these
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Solution

The correct option is C Due north
Step 1:
Draw a labelled diagram.

Step 2:
Find the direction of swimmer.
For shortest time, swimmer should swim along 𝐴𝐵, so he will reach at point 𝐶 due to the velocity of river. i.e., he should swim due north.
Final Answer: (a)

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