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A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?

Correct answer: B. 8 kmph

  • A. 2 kmph
  • B. 8 kmph
  • C. 16 kmph
  • D. 4 kmph

Explanation

The downstream speed is 30 km ÷ 3 h = 10 km/h, while the upstream speed is 18 km ÷ 3 h = 6 km/h. The speed in still water is their average: (10 km/h + 6 km/h) ÷ 2 = 8 km/h. Students may choose 4 kmph by taking half the difference, which gives the current rather than the man's still-water speed.

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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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