Question

A thief is runnig away on straight road in a jeep moving with a constant speed of 9m/s. A policeman chases him in a motorcycle at 10m/s. If the instantaneous separation btw them is 100m then find the time that will take the polce to catch the thief

Answer 1

100 Seconds

Given:

Speed of the  jeep of the thief = 9 m/s^-1

Speed of the policeman's motorcycle = 10 m/s^-1

Instantaneous separation between the policeman and the thief

= 100 meters.

To Find:

The Time the police will take to catch the thief.

Calculating:

Calculating The Speed Of Approach :

= 10 - 9 = 1 m/s^-1

Formula used for calculating the time taken to meet:

= Initial separation / speed of approach

Substituting the values into this formula we get:

= 100 m / 1 m sec^-1

= 100 secs

Therefore the time the police will take to catch the thief is 100 seconds.