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Question

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


A

1sec

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B

19sec

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C

90sec

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D

100sec

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Solution

The correct option is D

100sec


Step 1. Given Data:

Speed of thief jeep vj=9ms

Speed of police motorcycle vm=10ms

Distance between motorcycle and jeep s=100m

Let the relative velocity of the policeman with respect to the thief be vp.

Step 2. The relative velocity vp of the policeman with respect to the thief is:

vp=vm-vjv=109v=1ms.

Step 3. The time is taken by the policeman to catch the thief:

We know that,

Speed =Distance/time

v=stt=svt=1001t=100sec

Hence, the correct option is (D).


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