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The speed of a motor boat is that of the current of water as 36:5. The boat goes along with the current in 5 hours 10 min, it will come back in_______?

Correct answer: C. 6 hours 50 min

  • A. 5 hours 50 min
  • B. 6 hours
  • C. 6 hours 50 min
  • D. 12 hours 10 min

Explanation

Take the boat's still-water speed and current speed as 36 units and 5 units, so downstream and upstream speeds are 41 units and 31 units. The return time is 5 hours 10 minutes x 41/31 = 310 minutes x 41/31 = 410 minutes = 6 hours 50 minutes. The likely mistake is option a, 5 hours 50 minutes, which comes from treating the upstream speed as only slightly slower instead of using the ratio 31:41.

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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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