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A man rows to a place 42 km away and comes back to the starting point. If the speed of the stream is 2 km/hr and the speed of the boat in still water is 5 km/hr. Then what is the total time taken by him?
  • a)
    16 hours
  • b)
    17 hours
  • c)
    20 hours
  • d)
    30 hours 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A man rows to a place 42 km away and comes back to the starting point....
GIVEN:
Distance = 42 km
Speed of the stream = 2 km/hr
Speed of the boat = 5 km/hr
FORMULA USED:
Downstream speed = Speed of boat + Speed of stream
Upstream speed = Speed of boat – Speed of Stream
Time = Distance/ speed
CALCULATION:
42/((5 + 2)) + 42/((5 - 2)) = 6 + 14 = 20 hrs
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Most Upvoted Answer
A man rows to a place 42 km away and comes back to the starting point....
Understanding the Problem:
The man is rowing to a place 42 km away and then back to the starting point. We are given the speed of the stream (2 km/hr) and the speed of the boat in still water (5 km/hr).

Calculating Speed of Boat:
Speed of Boat in still water = (Speed of boat downstream + Speed of boat upstream) / 2
Speed of Boat in still water = (5 + 2) / 2 = 3.5 km/hr

Calculating Time Taken:
Time taken to row downstream = Distance / (Speed of Boat + Speed of Stream)
Time taken to row downstream = 42 / (5 + 2) = 6 hours
Time taken to row upstream = Distance / (Speed of Boat - Speed of Stream)
Time taken to row upstream = 42 / (5 - 2) = 14 hours

Total Time Taken:
Total time taken = Time taken downstream + Time taken upstream
Total time taken = 6 + 14 = 20 hours
Therefore, the total time taken by the man to row to a place 42 km away and back is 20 hours. So, the correct answer is option C.
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A man rows to a place 42 km away and comes back to the starting point. If the speed of the stream is 2 km/hr and the speed of the boat in still water is 5 km/hr. Then what is the total time taken by him?a)16 hoursb)17 hoursc)20 hoursd)30 hoursCorrect answer is option 'C'. Can you explain this answer?
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