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

due north

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due north-east

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due north-east with double the speed of river

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none of the above

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Solution

The correct option is A due north
If the man wants to cross the river in shortest time then its velocity should be perpendicular to the river by that method all its speed will be used to cover the distance in forward direction where as river may take it some distance away from direct opposite point.

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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

The correct option is A due northIf the man wants to cross the river in shortest time then its velocity should be perpendicular to the river by that method all its speed will be used to cover the distance in forward direction where as river may take it some distance away from direct opposite point.

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