A thief is running away on a straitht 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 instananeous separation of the jeep from the motor cycle is `100 m`, how long will it take for the policeman to catch the thief ?.

Options

A. `1s`
B. `19 s`
C. ` 90 s`
D. ` 100s`

Answer

D

Explanation

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