A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of 72 km/hr. the jeep follows it at a speed of 108 km/hr; crossing the turning 10 seconds later than the bike. Assuming that they travel at a constant speeds, how far from the turning will the jeep catch up with the bike.  from Physics Motion in A Plane Class 11 Manipur Board
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Motion in A Plane

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Physics Part I

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A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of 72 km/hr. the jeep follows it at a speed of 108 km/hr; crossing the turning 10 seconds later than the bike. Assuming that they travel at a constant speeds, how far from the turning will the jeep catch up with the bike. 

Speed of the motorbike  = 72 km/hr  = 20 m/s 

Speed of police jeep = 108 km/hr = 30 m/s 

Let the jeep catch up with the bike after t seconds. 

Therefore, 

       30 t = 20 ( t + 10)


rightwards double arrow        t = 20 sec 

Distance travelled by jeep in 20 sec, 

         s =30 x 20 = 600 m 

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