A thief seeing a policeman from a distance of 300 m starts running at a speed of 10 km/h. The policeman gives chase immediately at a speed of 12 km/h and the thief is caught. What is the distance run by the thief?

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 4)
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  1. 2 km
  2. 2.5 km
  3. 3.2 km
  4. 1.5 km

Answer (Detailed Solution Below)

Option 4 : 1.5 km
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Detailed Solution

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Given : 

Speed of Policeman = 12 km/h

Speed of thief = 10 km/h

Calculation : 

F1 Other Arbaz 30-10-23 D7

⇒ (300 + x)/1000 × 12 = x /1000 × 10

⇒ 300 + x/12 = x/10

⇒ 3000 + 10x = 12x

⇒ 2x = 3000

⇒ x = 1500 m = 1.5 km

∴ The correct answer is 1.5 km.

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