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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
  • a)
    due north
  • b)
    30° east of north
  • c)
    30° west of north
  • d)
    60° east of north
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A river is flowing from west to east at a speed of 5 metres per minute...
Time taken to cross the river t = d/v5cosθ
NOTE :  For time to be minimum, cosθ = maximum⇒θ= 0°
The swimmer should swim due north.
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Most Upvoted Answer
A river is flowing from west to east at a speed of 5 metres per minute...
Analysis:
The man needs to swim in the direction that minimizes the time taken to cross the river. The key is to understand that the man should swim perpendicularly to the river's current to reach the other side in the shortest time possible.

Calculations:
- Speed of river current = 5 m/min
- Speed of man in still water = 10 m/min

Explanation:
- If the man swims due north, he will be swimming perpendicular to the river's current. This means he will only be swimming across the river without being affected by the current's speed.
- By swimming due north, the man will be able to reach the other side in the shortest time possible.
Therefore, the correct direction for the man to swim in is due north (option A).
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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 directiona)due northb)30° east of northc)30° west of northd)60° east of northCorrect answer is option 'A'. Can you explain this answer?
Question Description
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 directiona)due northb)30° east of northc)30° west of northd)60° east of northCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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 directiona)due northb)30° east of northc)30° west of northd)60° east of northCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 directiona)due northb)30° east of northc)30° west of northd)60° east of northCorrect answer is option 'A'. Can you explain this answer?.
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