A man can row 10 km per hour in still water. If in a river flowing at 2 km an hour, it takes him 24 minutes to row to a place and come back, how far off is this place?
A man can row 10 km per hour in still water. If in a river flowing at 2 km an hour, it takes him 24 minutes to row to a place and come back, how far off is this place? Correct Answer 1.9 km
Speed of the man = 10 km/h
Speed of the river = 2 km/h
Let the distance of the place be x km.
Time taken to go to the place = x/(10 + 2) = x/12
Time taken to return = x/(10 - 2) = x/8
⇒ (x/12) + (x/8) = 24/60
⇒ 300x = 576
⇒ x = 1.92 km
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Feb 20, 2025