Question

A thief is running away on a straight road is jeep moving with a speed of $9m{s}^{-1}$. A policeman on motor cycle chases him at a speed of $10m{s}^{-1}$. If at any instant the separation between the jeep and the motorcycle is $100m$, then in what time the policeman catch the thief?

• A. $1s$
• B. $9s$
• C. $10s$
• D. $100s$

Answer 1

The correct option is D $100s$

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