A thief is spotted by a policeman from a distance of 400m. When the policeman starts chasing, the thief also starts running. If the speed of the thief is 32km/h and that of the policeman is 40 km/h, then how far would the thief have run before he is overtaken?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 1600m.
Let, the distance covered by the thief be x km
According to the question,
⇒ x/32 = (x + 0.4)/40
⇒ x/32 - x/40 = 0.4/40
⇒ (40x - 32x)/1280 = 0.01
⇒ 8x = 12.8
⇒ x = 1.6
Distance covered by thief = 1.6 km = 1.6 × 1000 m = 1600 m.