A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Correct answer: B. 1.5 kmph
- A. 3 kmph
- B. 1.5 kmph
- C. 13 kmph
- D. 6.5 kmph
Explanation
The downstream speed is 72 km ÷ 9 h = 8 km/h, and the upstream speed is 45 km ÷ 9 h = 5 km/h. The current is half their difference: (8 km/h - 5 km/h) ÷ 2 = 1.5 km/h. A common mistake is choosing 3 kmph by taking the full difference without dividing by 2.
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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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