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A man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man?

Correct answer: D. 40

  • A. 47.5
  • B. 50
  • C. 45
  • D. 40

Explanation

For equal distances, average speed is total distance divided by total time, not the ordinary average of the speeds. Taking each one-way distance as D km gives average speed 2D km ÷ (D/30 h + D/60 h) = 40 km/h; 45 km/h comes from averaging 30 km/h and 60 km/h directly.

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An average represents the total of a set of values divided by the number of values, and a weighted average gives different importance to different groups. Problems involve missing values, combined averages, replacement of observations, and changes in the average, so the total and count must be tracked separately.

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