A thief is running away on a straight road

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A thief is running away on a straight road on a jeep moving with a speed of $9\, m/s$. A police man chases him on a motor cycle moving at a speed of $10 \,m/s$. If the instantaneous separation of jeep from the motor cycle is $100 \,m$, how long will it take for the policemen to catch the thief........ $second$

A

$1$

B

$19$

C

$90$

D

$100$

A thief is running away on a straight road on a jeep moving with a speed of $9\, m/s$. A police man chases him on a motor cycle moving at a speed of $10 \,m/s$. If the instantaneous separation of jeep from the motor cycle is $100 \,m$, how long will it take for the policemen to catch the thief........ $second$

Relative speed of police with respect to thief $ = 10 - 9 = 1\,m/s$

Instantaneous separation $= 100 \,m$

Time = $\frac{{{\rm{distance}}}}{{{\rm{veclotiy}}}} = \frac{{100}}{1} = 100\sec .$