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Time, Speed & Distance · Question 9 of 71

Question 9

MediumOriginal question

Tenzin drives from Gangtok to a hill town at 40 km/h and returns along the same road at 60 km/h. What is his average speed for the whole round trip?

Options for question 9

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. For equal distances at speeds xx and yy, average speed =2xyx+y= \frac{2xy}{x+y}.

  2. 2×40×6040+60=4800100=48\frac{2 \times 40 \times 60}{40 + 60} = \frac{4800}{100} = 48 km/h.

Worth noting

50 km/h is the simple mean of 40 and 60. It is wrong because he spends more time at the slower speed.

Concept
Average speed over equal distances is the harmonic mean, not the arithmetic mean
Typical time
50 s
Your time
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The rule this testsSpeed, conversion and average speed
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Ten questions from Time, Speed & Distance, at your own pace.

Practise this chapter →

Ten questions from Time, Speed & Distance, at your own pace.