In a circular race of 1600 m, A and B start from the same point and at the same time with speeds of 27 km/h and 45 km/h, respectively. After how long will they meet again for the first time on the track when they are running in the same direction?

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 3)
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  1. 90 seconds
  2. 320 seconds
  3. 240 seconds
  4. 180 seconds

Answer (Detailed Solution Below)

Option 2 : 320 seconds
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Detailed Solution

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Given:

In a circular race of 1600 m, A and B start from the same point and at the same time with speeds of 27 km/h and 45 km/h, respectively.

Concept used:

Distance = speed × time

Calculation:

Relative speed is (45 - 27) × 5/18 = 5 m/s

Time will be, 1600/ 5 = 320 seconds

∴ The correct option is 2

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