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A thief seeing a policeman from a distance of 400 m started running at a speed of 16 km/h. The policeman chased him immediately with a speed of 18 km/
Question

A thief seeing a policeman from a distance of 400 m started running at a speed of 16 km/h. The policeman chased him immediately with a speed of 18 km/h and the thief was caught. What is the distance run by the thief before he was caught by the policeman?

A.

3200 m

B.

3230 m

C.

3240 m

D.

3220 m

Correct option is A

Given:
Distance between thief and policeman = 400 m
Speed of the thief = 16 km/h
Speed of the policeman = 18 km/h
Formula Used:
Relative speed (when moving in the same direction):
Relative speed=Speed of policeman−Speed of thief
Time taken to catch the thief:
Time=Distance between themRelative speed\text{Time} = \frac{\text{Distance between them}}{\text{Relative speed}}​​
Distance run by the thief:
Distance= Speed of thief × Time

Solution: 

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