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Question

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


Options:
A .  400 m.
B .  450 m.
C .  500 m.
D .  550 m.
Answer: Option A

Relative speed of the policeman = (10 - 8) km/hr = 2 m/hr.

Time taken by policeman to cover 100 m    = `(100/1000 xx 1/2) hr. = 1/20`hr.

In `1/20` hrs. the thief covers a distance of `(8 xx 1/20) km = 2/5 km` =  400 m.



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