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Speed of a man in still water is 5 km/hr and the river is running at 3km/hr. The total time taken to go to a place and come back is 10 hours. What is the distance travelled?
  • a)
    10 km
  • b)
    16 km
  • c)
    24 km
  • d)
    32 km
  • e)
    36 km
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Speed of a man in still water is 5 km/hr and the river is running at 3...
Down speed = 5+3 = 8
Up speed = 5-3 = 2
Let distance travelled = X
(X/8)+(X/2) = 10
X= 16 km
Total distance is 16+16 = 32
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Most Upvoted Answer
Speed of a man in still water is 5 km/hr and the river is running at 3...
Given:
Speed of man in still water = 5 km/hr
Speed of river = 3 km/hr
Total time taken to go to a place and come back = 10 hours

To find:
Distance travelled

Approach:
Let the distance travelled be 'd' km
Let the time taken to cover the distance in still water be 't' hours

Then,
Speed in downstream = (5 + 3) = 8 km/hr
Speed in upstream = (5 - 3) = 2 km/hr

Now,
d/8 + d/2 = 10
Solving the above equation, we get
d = 32 km

Therefore, the distance travelled is 32 km.

Explanation:
When a man rows a boat in still water, he covers a certain distance in a certain time. When he rows the same boat in a river, his speed is affected by the speed of the river.

Let us assume that the distance between the two points is 'd' km and the time taken to cover the distance in still water is 't' hours.

In still water, the speed of the man is 5 km/hr.
Therefore, the distance covered in 't' hours in still water = 5t km

When the man rows the boat in the river, the speed of the river also affects the speed of the boat.
When the boat is going downstream, the effective speed of the boat = (5 + 3) = 8 km/hr
Therefore, the distance covered in 't' hours downstream = 8t km

When the boat is going upstream, the effective speed of the boat = (5 - 3) = 2 km/hr
Therefore, the distance covered in 't' hours upstream = 2t km

According to the given problem, the time taken to go to the place and come back is 10 hours.
Therefore, the time taken to go to the place = 5 hours
And the time taken to come back = 5 hours

Hence,
d/8 + d/2 = 10

On solving this equation, we get
d = 32 km

Therefore, the distance travelled is 32 km.
Free Test
Community Answer
Speed of a man in still water is 5 km/hr and the river is running at 3...
Down speed = 5+3 = 8
Up speed = 5-3 = 2
Let distance travelled = X
(X/8)+(X/2) = 10
X= 16 km
Total distance is 16+16 = 32
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Question Description
Speed of a man in still water is 5 km/hr and the river is running at 3km/hr. The total time taken to go to a place and come back is 10 hours. What is the distance travelled?a)10 kmb)16 kmc)24 kmd)32 kme)36 kmCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Speed of a man in still water is 5 km/hr and the river is running at 3km/hr. The total time taken to go to a place and come back is 10 hours. What is the distance travelled?a)10 kmb)16 kmc)24 kmd)32 kme)36 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Speed of a man in still water is 5 km/hr and the river is running at 3km/hr. The total time taken to go to a place and come back is 10 hours. What is the distance travelled?a)10 kmb)16 kmc)24 kmd)32 kme)36 kmCorrect answer is option 'D'. Can you explain this answer?.
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