A thief was spotted by a policeman from a distance of 225 meters. 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?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1237.5 meters.
1000 m = 1 km
Distance = 225/1000 = 0.225 km
let time taken be x
⇒ 13x = (0.225 + 11x)
⇒ 2x = 0.225
⇒ x = 0.1125
It will take the policeman 0.1125 hours to catch the thief
The thief would have ran = (0.1125 × 11) = 1.2375 km = 1237.5 meters