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Question

A thief is running away on a straight road in a jeep moving with a speed of 9 ms1. A policeman chases him on a motor cycle moving at a speed of 10 ms1. If the instantaneous separation of the jeep from the motor cycle is 100 m, how long will it take for the policeman to catch the thief?

A
1 s
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B
19 s
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C
90 s
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D
100 s
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Solution

The correct option is D 100 s
We have,
vp=10 m/s - Speed of policeman
vt=9 m/s - Speed of thief

Relative speed of policeman with respect to thief :
vpt=vpvt=109=1 m/s

As the distance between policeman and thief is 100 m, the time required for policeman to reach the thief is:
t=100vpt=1001=100 s

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