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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a
1 s
b
19 s
c
90 s
d
100 s
answer is D.
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Detailed Solution
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.