Sohan and Amit started a car race from the same point in the same direction and at the same time on a circular track of length 1125 m with speeds of 36 km/h and 54 km/h, respectively. After how much time (in seconds) will they meet for the first time since the start of the race?

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SSC CGL 2023 Tier-I Official Paper (Held On: 27 Jul 2023 Shift 1)
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  1. 220
  2. 215
  3. 210
  4. 225

Answer (Detailed Solution Below)

Option 4 : 225
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Detailed Solution

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Given:-  

Sohan's speed = 36 km/h = (36 × 1000 m) / (3600 s) = 10 m/s

Amit's speed = 54 km/h = (54 ×1000 m) / (3600 s) = 15 m/s

Formula used:-

Two trains/bodies are moving in the same direction at u m/s & v m/s,
where u>v then the relative speed in the same direction = (u - v) m/s.

Calculation:-

Relative speed = Amit's speed - Sohan's speed 

⇒15 m/s - 10 m/s = 5 m/s

Time (t) = Distance (d) / Relative Speed

Time (t) = 1125 m / 5 m/s = 225 seconds

∴ Sohan and Amit will meet for the first time since the start of the race after 225 seconds.  
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