A thief is noticed by a policeman from a distance of 97 m. The thief starts running and the policeman chases him. The thief and the policeman run at a speed of 21 m/sec and 23 m/sec respectively. What is the time taken by the policeman to catch the thief?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 1)
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  1. 40 sec
  2. 45 sec 
  3. 62.5 sec
  4. 48.5 sec

Answer (Detailed Solution Below)

Option 4 : 48.5 sec
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Detailed Solution

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Given

The distance between the thief and the police is 97m

The speed of a thief is 21 m/sec

The speed of the police is 23 m/sec

Formula used

Time is taken to meet = Initial Distance / Relative Speed

Distance = speed × time

Calculation

Initial distance = 97m 

Relative Speed = 23 - 21 = 2m/sec

Time is taken to catch the thief = 97/2 = 48.5 sec

∴ The policeman catches the thief in 48.5 sec.

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