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A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?

  • a)
    3.2 km
  • b)
    3 km
  • c)
    2.4 km
  • d)
    3.6 km
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A man can row at 5 kmph in still water. If the velocity of current is ...
Let the distance is x km
Rate downstream = 5 + 1 = 6 kmph
Rate upstream = 5 - 1 = 4 kmph
then
x/6 + x/4 = 1 [because distance/speed = time]
⇒ 2x + 3x = 12
⇒ x = 12/5 
= 2.4 km
So option C is correct
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A man can row at 5 kmph in still water. If the velocity of current is ...
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A man can row at 5 kmph in still water. If the velocity of current is ...
Understanding the Problem
To find the distance to the place, we first need to consider the rowing speed in still water and the effect of the current.
Given Data
- Speed in still water: 5 km/h
- Speed of current: 1 km/h
- Total time for round trip: 1 hour
Effective Speeds
- When rowing downstream (with the current):
- Effective speed = Speed in still water + Speed of current = 5 + 1 = 6 km/h
- When rowing upstream (against the current):
- Effective speed = Speed in still water - Speed of current = 5 - 1 = 4 km/h
Time Calculation
Let the distance to the place be "d" km.
- Time taken to row downstream to the place:
- Time = Distance / Speed = d / 6 hours
- Time taken to row upstream back:
- Time = Distance / Speed = d / 4 hours
Total Time Equation
The total time for the round trip is given as 1 hour. Therefore, we can set up the equation:
d / 6 + d / 4 = 1
Finding a Common Denominator
The common denominator for 6 and 4 is 12.
- Rewriting the equation:
- (2d / 12) + (3d / 12) = 1
- Combine the fractions:
- (5d / 12) = 1
Solving for Distance
To find "d":
- Multiply both sides by 12:
- 5d = 12
- Divide by 5:
- d = 12 / 5 = 2.4 km
Conclusion
Thus, the distance to the place is 2.4 km, confirming that the correct answer is option 'C'.
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A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place? a)3.2 kmb)3 kmc)2.4 kmd)3.6 kmCorrect answer is option 'C'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place? a)3.2 kmb)3 kmc)2.4 kmd)3.6 kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place? a)3.2 kmb)3 kmc)2.4 kmd)3.6 kmCorrect answer is option 'C'. Can you explain this answer?.
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