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In a journey of 24 miles, two thirds of the distance was travelled with a speed of 40 mph and the remaining with 60 mph. How much time did the journey take?

Correct answer: D. 32 minutes

  • A. 14.4 minutes
  • B. 20 minutes
  • C. 28.8 minutes
  • D. 32 minutes

Explanation

Two thirds of 24 miles is 16 miles, taking 16/40 hour = 0.4 hour = 24 minutes. The remaining 8 miles takes 8/60 hour = 8 minutes, so the total time is 24 + 8 = 32 minutes. The likely mistake is choosing c, 28.8 minutes, by using an incorrect average speed.

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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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