# A thief is spotted by a policeman from a distance of 100 m

A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 8 km/hour and that of the policeman is 10 km/hour, then how far will the thief have to run before he is overtaken?

1. 200 m
2. 300 m
3. 400 m
4. 500 m

Let the distance covered by thief is d.

Distance covered by policeman = d + 100

Time is same for the thief and policeman.

d/8 = (d+100)/10

10d = 8d + 800

2d = 800

d = 400

The correct option is C.