A thief is running away on a straight road in jeep moving with a speed of 9 ms -1 A police man chases him on a motor cycle moving at a speed of 10 ms -1. If the instantaneous separation of the jeep from the motorcycle is 100 m, how long will it take for the police to catch the thief

Question

A thief is running away on a straight road in jeep moving with a speed of 9 ms -1 A police man chases him on a motor cycle moving at a speed of 10 ms -1. If the instantaneous separation of the jeep from the motorcycle is 100 m, how long will it take for the police to catch the thief (A) 1 s (B) 19 s (C) 90 s (D) 100 s

Tardigrade Admin · Accepted Answer

The relative velocity of policeman w.r.t. thief =10-9=1 m / s. ∴ Time taken by police to catch the thief =(100/1)=100 s

Q. A thief is running away on a straight road in jeep moving with a speed of 9ms−1 A police man chases him on a motor cycle moving at a speed of 10ms−1. If the instantaneous separation of the jeep from the motorcycle is 100m, how long will it take for the police to catch the thief

1 s

19 s

90 s

100 s

The relative velocity of policeman w.r.t. thief =10−9=1m/s. ∴ Time taken by police to catch the thief =1100​=100s

The relative velocity of policeman w.r.t. thief $= 10 - 9 = 1 m / s$ .
$∴$ Time taken by police to catch the thief
$= \frac{100}{1} = 100 s$