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A policeman fired a gun from behind a thief who was running at the rate of 12 km/h. At that point of time, the distance between policeman and thief was 400 m. When will the bullet hit the thief, if the speed of the bullet is 1 km/min? 

A policeman fired a gun from behind a thief who was running at the rate of 12 km/h. At that point of time, the distance between policeman and thief was 400 m. When will the bullet hit the thief, if the speed of the bullet is 1 km/min?  Correct Answer After 30 seconds

Given:

Speed of thief = 12 km/h

Speed of bullet = 1 km/min

Distance = 400 m

Formula Used:

Speed = Distance/Time

Concept Used:

If two objects are moving in the same direction with speeds S1 and S2,

Their relative speed is S1 – S2

Calculation:

Speed of thief = 12 × 1/60 = 1/5 km/min

Relative speed = 1 – 1/5 = 4/5 km/min

⇒ 4000/5 m/min

⇒ 800 m/min

Time taken in hitting = 400/800

⇒ 1/2 min

⇒ 30 s

∴ The bullet will hit the thief in 30 seconds.

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