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A person walking at 5/6th of his usual speed is 40 minutes late to his office. What is his usual travel time to his office?

Correct answer: A. 3 hours 20 minutes

  • A. 3 hours 20 minutes
  • B. 3 hours 15 minutes
  • C. 3 hours 30 minutes
  • D. 3 hours

Explanation

At 5/6 of the usual speed, the travel time becomes 6/5 of the usual time. The delay is therefore 1/5 of the usual time, so usual time = 40 min x 5 = 200 min = 3 hours 20 minutes. A student may choose 3 hours by subtracting the 40-minute delay from an incorrectly assumed total time.

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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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