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Shindes of Gwalior

A thief is ru...

Question

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

A

100 s

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B

1 s

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C

19 s

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D

90 s

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Solution

The correct option is A $100 s$
Given:
Velocity of thief jeep $V_{T} = 9 m / s$
Speed of police motorcycle $V_{P} = 10 m / s$
Separation of jeep from motorcycle, $(d) = 100 m$
Therefore,
Relative velocity of policeman $w . r . t .$ thief
$(V_{P T}) = V_{P} - V_{T} = (10 m / s - 9 m / s) = 1 m / s .$
Hence,
Time taken by police to catch the thief
$= \frac{Separation of jeep from motorcycle(d)}{V_{P T}}$
$t = \frac{100 m}{1 m / s} = 100 s$

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Shindes of Gwalior

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