A constable is 114 meters behind a thief. The constable runs 21 meters and the thief 15 meters in a minute. In what time will the constable catch the thief?

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Chandigarh Police Constable 2013 Official Paper
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  1. 19
  2. 18
  3. 17
  4. 16

Answer (Detailed Solution Below)

Option 1 : 19
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Detailed Solution

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Given:

Distance between the constable and the thief = 114 meters

Speed of the constable = 21 meters/min

Speed of the thief = 15 meters/min

Formula Used:

Time = Distance / Relative Speed

Relative Speed = Speed of the constable - Speed of the thief

Calculation:

Relative Speed = 21 - 15 = 6 meters/min

Time = Distance / Relative Speed

Time = 114 / 6

⇒ Time = 19 minutes

The constable will catch the thief in 19 minutes.

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