A boy standing at a corner noticed a thief on bike moving with 54 km / hr and after some time a police jeep crosses him with speed 72 km / hr . If jeep catches the thief at a distance of 1 km from the

Question

A boy standing at a corner noticed a thief on bike moving with 54 km / hr and after some time a police jeep crosses him with speed 72 km / hr . If jeep catches the thief at a distance of 1 km from the boy then the time gap between bike \& jeep will be when they cross the boy-

TestHub · Accepted Answer

To refine the solution, we first convert speeds to m/s.

Thief's speed $v_{T} = 54 km / h r = 15 m / s$ .

Jeep's speed $v_{J} = 72 km / h r = 20 m / s$ .

Distance $D = 1 km = 1000 m$ .

Time taken by jeep to catch thief $t_{J} = D / v_{J} = 1000/20 = 50 s$ .

Time taken by thief to cover $D$ distance $t_{T} = D / v_{T} = 1000/15 = 66.67 s$ .

Time gap $= t_{T} - t_{J} = 66.67 - 50 = 16.67 s$ .

Physics - Kinematics Question with Solution | TestHub

Options:

Doubts & Discussion