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SSC CHSL 2022 · PYQ · Time, Speed & Distance · medium

A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him?

  1. A.1357.5 metres
  2. B.1256.5 metres
  3. C.1237.5 metres✓ Correct
  4. D.1137.5 metres

Explanation

Relative speed = 13−11 = 2 km/h. Time to cover 225 m = 0.225/2 hours = 0.1125 hours. Distance run by thief = 11 × 0.1125 = 1.2375 km = 1237.5 metres.
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