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The speed of a policeman and a thief are 12 kmph and 9 kmph respectively. The policeman starts chasing 6 minutes late. He will catch the thief in
1. 18 min 
2. 19 min 
3. 17 min 
4. 15 min 

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Correct Answer - Option 1 : 18 min 

Given:

Speed of thief = 9 km/h

Speed of policeman = 12 km/h

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:

Only the thief runs for 6 minutes.

Distance covered by the thief = 9 × 5/18 × 6 × 60 m = 900 m

Relative speed = 12 – 9 = 3 km/h

⇒ 3 × 5/18 m/s

⇒ 5/6 m/s

Time to catch the thief = Time required to cover 900 = 900/(5/6) s

⇒ 900/5 × 6 s

⇒ 180 × 6 s

⇒ (180 × 6)/60 = 18 min

The policeman will catch the thief in 18 min.

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