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A man can row at 5 km/hr in still water, if the river is running at 1 km/hr it takes him 75 minutes to row to a place and back. How far is the place?

Correct answer: B. 3km

  • A. 2.5km
  • B. 3km
  • C. 4 km
  • D. 5 km

Explanation

The upstream and downstream speeds are 5 - 1 = 4 km/hr and 5 + 1 = 6 km/hr. If the one-way distance is d km, then d/4 + d/6 = 75 minutes = 1.25 hours, so 5d/12 = 1.25 and d = 3 km. The likely mistake is choosing 2.5 km by using only one part of the round trip.

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About Time, Speed and Distance

Problems relate distance, speed and time through the formula distance = speed × time, including unit conversion, average speed, relative speed and motion in opposite or the same direction. Questions may involve trains, boats and streams, where the effective speed changes, so average speed must not be confused with the simple average of two speeds.

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