A thief is noticed by a policeman from a distance of 380 m. The thief starts running and the policeman chases him. The thief and policeman run at the speed of 25 ,m/sec and 30 m/sec respectively. What is the time taken by the policeman to catch the thief?

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SSC GD Constable (2022) Official Paper (Held On : 13 Jan 2023 Shift 2)
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  1. 82 sec
  2. 56 sec
  3. 92 sec
  4. 76 sec

Answer (Detailed Solution Below)

Option 4 : 76 sec
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Detailed Solution

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Given

Initial distance: 380 m

Speed of thief and policeman: 25 m/s and 30 m/s respectively

Concept:

Relative speed and time calculation (Time = Distance/Speed).

Calculation:

Relative speed = speed of policeman - speed of thief

30 m/s - 25 m/s = 5 m/s

Time = distance/relative speed

380/5 = 76 sec

Hence, the policeman will catch the thief in 76 seconds.

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