In a circular race of 840 m, A and B start running in the same direction at the same time from the same point at the speeds of 6 m/s and 12 m/s, respectively. After how much time will they meet next?

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SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 25 Jun, 2024 Shift 2)
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  1. 140 s
  2. 20 s
  3. 70 s
  4. 40 s

Answer (Detailed Solution Below)

Option 1 : 140 s
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Detailed Solution

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Given:

Circular track length = 840 m

Speed of A = 6 m/s

Speed of B = 12 m/s

Formula used:

Time to meet = Track length / Relative speed

Relative speed (since they are running in the same direction) = Speed of B - Speed of A

Calculation:

Relative speed = 12 m/s - 6 m/s = 6 m/s

Time to meet = 840 m / 6 m/s

⇒ Time to meet = 140 seconds

∴ A and B will meet next after 140 seconds.

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