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A boat running upstream takes 8 hours 48 min to cover a certain distance while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and the speed of water current respectively?

Correct answer: C. 8 : 3

  • A. 2 : 1
  • B. 3 : 1
  • C. 8 : 3
  • D. Cannot be determined

Explanation

For distance D, downstream speed is D ÷ 4 hr = D/4, while upstream speed is D ÷ 8.8 hr = 5D/44. Thus boat speed = [(D/4) + (5D/44)] ÷ 2 = 2D/11, and current speed = [(D/4) - (5D/44)] ÷ 2 = 3D/44, giving 8:3. The common error is reversing the requested ratio or using the two effective speeds directly.

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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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