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?
Answer & explanation
Correct answer: option 1
Distance between police and thief = 225 m
Relative speed ( Moves in same direction) = 13 - 11 = 2 km/h
2 km/h = 2 × \(\frac{5}{18}\) m/sec = \(\frac{5}{9}\) m/sec
Time taken = \(\frac{Distance }{Speed}\)
= \(\frac{225 × 9 }{5 }\)
= 405 sec
Distance traveled by thief = Speed × Time
= 11 × \(\frac{5}{18}\) × 405
= 1237.5 m