A thief was spotted by a policeman at a distance of 1200 m and he started chasing him. The thief ran 6.4 km in 52 minutes and the policeman also ran the same distance in 40 minutes. Find the distance the thief had run before he was caught.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 4 km
Thief’s speed = 6400/52 =123.08 m/min
Policeman’s speed = 6400/40 = 160 m/min
Relative speed = 160−123.08 = 36.92 m/min
Time to catch = 1200/36.92 ≈ 32.5 minutes
Distance that thief ran in that time =123.08 × 32.5 ≈ 4000 m = 4 km