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If a person walked at 14 km/h instead of 10 km/h, he would have walked 20 km extra. How much distance has he travelled?

  • A.39 km
  • B.43 km
  • C.47 km
  • D.50 km

Answer: D

He has travelled 50 km.

Let the usual time be t hours. Walking at 14 km/h covers 20 km more than walking at 10 km/h, so 14t − 10t = 20 and t = 5 hours.

\[ \text{distance}=10\times5=50\text{ km} \]

39, 43 and 47 km do not fit these speeds and the 20 km extra.

A check with the answer: walking 50 km at 10 km/h takes 5 hours, and at 14 km/h in 5 hours he would cover 70 km, which is 20 km more. The other distances do not give an extra 20 km in the same time.

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