A thief is running away on a straight road on a jeep moving with a speed of $9 \mathrm{~m} / \mathrm{s}$. A…
A thief is running away on a straight road on a jeep moving with a speed of $9 \mathrm{~m} / \mathrm{s}$. A police man chases him on a motor cycle moving at a speed of $10 \mathrm{~m} / \mathrm{s}$. If the instantaneous separation of jeep from the motor cycle is $100 \mathrm{~m}$, how long time (in sec) will it take for the police man to catch the thief?
110
120
130
100
Solution
Relative speed of police with respect to thief $=10-9=1 \mathrm{~m} / \mathrm{s}$
Instantaneous separation $=100 \mathrm{~m}$
Time $=\frac{\text { Distance }}{\text { Velocity }}=\frac{100}{1}=100 \mathrm{sec}$
Asked in: JEE Mains - Motion In One Dimension - Test 4