A constable Ram is 225 m behind a thief Somesh. Ram runs 50 m and Somesh runs 30 m in a minute. At what time will the constable Ram catch the thief Somesh?  

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 3)
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  1. 10 minutes 16 seconds 
  2. 5 minutes 11 seconds 
  3. 16 minutes 10 seconds 
  4. 11 minutes 15 seconds 

Answer (Detailed Solution Below)

Option 4 : 11 minutes 15 seconds 
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Detailed Solution

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Given:

Distance between Ram and Somesh = 225 m

Speed of Ram =  (50/60) = (5/6) m/s

Speed of Somesh = (30/60) = (1/2) m/s

Formula used:

Distance = relative speed × time

Calculation:

Distance = relative speed × time

⇒ 225 = {(5/6) - (1/2)} × time

⇒ 225 = {(5 - 3)/6} × time

⇒ Time = (225 ×  6)/2 = 225 × 3

⇒ Time = 675 sec = 11 minutes 15 sec

∴ The correct answer is 11 minutes 15 sec.

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