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If a boat is rowed downstream for 50 km in 5 hours and upstream for 24 km in 6 hours, what is the speed of the boat and the river?

Correct answer: A. (7 , 3) km/hr

  • A. (7 , 3) km/hr
  • B. (6 , 4) km/hr
  • C. (10 , 4) km/hr
  • D. None of these

Explanation

The downstream speed is 50 km ÷ 5 hours = 10 kmph, and the upstream speed is 24 km ÷ 6 hours = 4 kmph. If boat speed is B and river speed is R, B + R = 10 kmph and B - R = 4 kmph, giving B = 7 kmph and R = 3 kmph. The likely choice is b, (6, 4) km/hr, from failing to combine the two speed equations correctly.

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About Time, Speed and Distance

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