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A boat running downstream covers 24 km's in 4 hours while for covering the same distance upstream it takes 6 hours whats the speed of the boat in still water?

Correct answer: E. None of these

  • A. 3.5km/hr
  • B. 5.5 km/hr
  • C. 6 km/hr
  • D. Data Inadequate
  • E. None of these

Explanation

The downstream speed is 24 km ÷ 4 hours = 6 km/hr, and the upstream speed is 24 km ÷ 6 hours = 4 km/hr. Hence the speed in still water is (6 km/hr + 4 km/hr) ÷ 2 = 5 km/hr, which is not listed. The likely mistake is option a, 3.5 km/hr, which does not follow from averaging the downstream and upstream speeds.

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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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