A thief is running away on a straight road in a jeep moving with a speed of $$9$$ $$ms-1$$. A policeman chases him on a motor cycle moving at a speed of $$10$$ $$ms-1$$. 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?

Question

A thief is running away on a straight road in a jeep moving with a speed of $$9$$ $$ms-1$$. A policeman chases him on a motor cycle moving at a speed of $$10$$ $$ms-1$$. 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?

Infinity Learn · Accepted Answer

Relative velocity of policeman w.r.t. the thief is $$10$$−$$9=1ms$$−$$1$$. Since the relative separation between them is $$100$$ m, the time taken will be $$=$$ relative $$separation/relative$$ velocity $$=$$ $$100/1$$ $$=$$ $$100$$ s.

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A thief is running away on a straight road in a jeep moving with a speed of 9 ms-1. A policeman chases him on a motor cycle moving at a speed of 10 ms-1. 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?

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