Ram and Shyam are racing along a circular track. The speed of Ram is thrice the speed of Shyam. The length of the circular track is 1440 m. After the start of the race from the same point simultaneously, Ram meets Shyam for the first time at the end of the 8th minute. If Ram and Shyam start the race again from the same starting point simultaneously, then the time taken by Shyam to finish the race is: (given that the length of the race is same as the length of the track)

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 2)
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  1. 7.5 min
  2. 16 min
  3. 30 min
  4. 22.5 min

Answer (Detailed Solution Below)

Option 2 : 16 min
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given:

Ram and Shyam are racing along a circular track.

The speed of Ram is thrice the speed of Shyam.

The length of the circular track is 1440 m.

After the start of the race from the same point simultaneously, Ram meets Shyam for the first time at the end of the 8th minute.

Calculation:

Speed ration of Ram and Shyam is 3 : 1

Let speed of Ram is 3x then Shyam is x

Relative speed is 3x - x = 2x

As per the question,

2x = 1440/(8 × 60)

x = 3/2

Time taken by Shyam will be

(1440 × 2 / 3) × 1/60 = 16 minutes

∴ The correct option is 2.

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