A thief is running away on a straight road in a 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 ?.

Explanation

Let the distance travelled by the thief be d, when the policeman catches him. The distance travelled by the policeman = (0.1 + d) km = (100). Let the time taken be t
`:.2=(d)/(t)`
`d=2t`
`5=(d+0.1)/(t)`
`5=(2t+ 0.1)/( t)`
`5t=2t+0.1, 3t=0.1`
`t=(0.1)/(3)h`
`h= 0.1 xx 60` minutes
`0.1 xx 20` minutes = 2 minutes