A thief is noticed by a policeman from a distance of 200 m. The thief starts running as soon as he is noticed, and the policeman chases him simultaneously. The thief and the policeman run at the speeds of 10 km/h and 11 km/h, respectively. What is the distance (in m) between them after 6 min policeman starts chasing?

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 3)
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  1. 75
  2. 100
  3. 125
  4. 150

Answer (Detailed Solution Below)

Option 2 : 100
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Detailed Solution

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Given:

A thief is noticed by a policeman from a distance of 200 m.

The thief starts running as soon as he is noticed, and the policeman chases him simultaneously.

The thief and the policeman run at the speeds of 10 km/h and 11 km/h, respectively.

Concept used:

Distance = speed × time

Calculation:

Relative speed is (11 -10) × 5/18 = 5/18 m/s

Distance covered in 6 × 60 = 360 secs is ,

⇒ 360 × 5/18 = 100 meter

∴ The correct option is 2

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