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Q.

A river is flowing from west to east at a speed of 8 m per min. A man on the south bank of the river, capable of swimming at 20 m/min in still water, wants to swim across the river in the shortest time. He should swim in a direction:

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a

due north.

b

30° east of north.

c

30° west of north.

d

60° east of north.

answer is A.

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Detailed Solution

For shortest time one should swim at right angles to river current.

 

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A river is flowing from west to east at a speed of 8 m per min. A man on the south bank of the river, capable of swimming at 20 m/min in still water, wants to swim across the river in the shortest time. He should swim in a direction: