A thief is spotted by a policeman from a distance of 250 m. When the policeman starts the chase, the thief also starts running. Assuming that the speed of the thief is 10 km/h and that of the policeman is 12 km/h, how far would the thief have run before he was caught?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 1.25 km
The distance between a policeman and a thief = 250 m = 0.25 km
The speed of the thief = 10 km/h
The speed of the policeman = 12 km/h
The relative speed = 12 - 10 = 2 km/h
Formula used
Distance = Relative speed × Time
Calculation
Time to catch the thief = 0.25/2 = 0.125 h
The distance covered by thief = 0.125 × 10 = 1.25 km