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Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?

Correct answer: D. 1 hr 12 min

  • A. 1 hr 42 min
  • B. 1 hr
  • C. 2 hr
  • D. 1 hr 12 min

Explanation

At 6/7 of the usual speed, the new time becomes 7/6 of the usual time. The delay is therefore 1/6 of the usual time, so usual time = 12 min x 6 = 72 min = 1 hr 12 min. A student may choose 1 hour by multiplying 12 minutes by 5 instead of by 6.

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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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