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Question: A thief is running away on a straight road on a jeep moving with a speed of 9 m/s. A police man chas...

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

A

1 second

B

19 second

C

90 second

D

100 second

Answer

100 second

Explanation

Solution

Relative speed of police with respect to thief

=109=1m/s= 10 - 9 = 1m ⥂ / ⥂ s

Instantaneous separation = 100 m

Time = distanceveclotiy=1001=100sec.\frac{\text{distance}}{\text{veclotiy}} = \frac{100}{1} = 100sec.