A policeman starts chasing a thief when he was already 600 m ahead. If the policeman is running at a speed of 9 km/h and the thief at 8 km/h, then the thief would be caught at a distance of:

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 1)
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  1. 6.5 km
  2. 6 km
  3. 5 km
  4. 5.4 km

Answer (Detailed Solution Below)

Option 4 : 5.4 km
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Detailed Solution

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Given:

Distance between policeman and thief = 600 m

Speed of policeman = 9 km/h

Speed of thief = 8 km/h

Formula used:

Distance = relative speed × time

Calculation:

Distance = relative speed × time

⇒ 600 = (9 - 8) × (5/18) × time

⇒ Time = (600 × 18)/5 = 120 × 18

⇒ Time = 2160 sec = (2160/3600) hours

Distance covered by policeman = 9 × (2160/3600)

⇒ (9 × 3)/5 = 5.4 km

∴ The correct answer is 5.4 km.

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