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A thief drives his motor cycle at a speed of x kmph. The Policemen started chasing him in a jeep after 4 hrs and catches in 4 hrs. If the speed of jeep of policemen is 40 kmph, then calculate the speed of thief's motorcycle in kmph?

A thief drives his motor cycle at a speed of x kmph. The Policemen started chasing him in a jeep after 4 hrs and catches in 4 hrs. If the speed of jeep of policemen is 40 kmph, then calculate the speed of thief's motorcycle in kmph? Correct Answer 20

Given that, speed of thief motorcycle is x kmph .

 

Given that, policemen started chasing him after 4 hours and catches him in 4 hours.

Distance travelled by the thief in 4 + 4 = 8 hours is d = s t 

=> d = 8x kms

 

Distance covered by the police in 4 hours is

D = 4 x 40 = 160 kms

 

To catch the thief, distance covered by the thief is equal to distance covered by the police .

 

Therefore,

d = D

 

d = 8x = 160 

x = 160/8 = 20

x = 20 kmph

 

Hence, the speed of thief's motorcycle is 20 km/hr.

 

 

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