A river is flowing from west to east at a speed of 5-metres per minute- nbsp-A man on the south bank of the river- capable of swimming at 10-metres nbsp-per minute in still water- wants to swim across the river in the shortest time- He should swim in a direction-

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A river is fl...

Question

A river is flowing from west to east at a speed of $5~\text{metres per minute}$. A man on the south bank of the river, capable of swimming at $10~\text{metres per minute}$ in still water, wants to swim across the river in the shortest time. He should swim in a direction

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Solution

We know that,

For minimum time, the swimmer should swim perpendicular to the direction of river flow, so that all his/her energy or velocity will be directed towards crossing the river. So, he should swim due north.

Hence, option $(\text A)$ is the correct answer.

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Q. A river is flowing from west to east at a speed of 5 metres per minute. A man on the south bank of the river, capable of swimming at 10 metres per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction.
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(b) 30° east of north
(c) 30° north of west
(d) 60° east of north.

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A river is flowing from west to east at a speed of $5~\text{metres per minute}$. A man on the south bank of the river, capable of swimming at $10~\text{metres per minute}$ in still water, wants to swim across the river in the shortest time. He should swim in a direction

We know that, For minimum time, the swimmer should swim perpendicular to the direction of river flow, so that all his/her energy or velocity will be directed towards crossing the river. So, he should swim due north. Hence, option $(\text A)$ is the correct answer.

We know that,

For minimum time, the swimmer should swim perpendicular to the direction of river flow, so that all his/her energy or velocity will be directed towards crossing the river. So, he should swim due north.

Hence, option $(\text A)$ is the correct answer.