In a circular race of 625 m, A and B start from the same point, at the same time and at speeds of 90 km/h and 72 km/h, respectively. After how much time will they meet again for the first time on the track if they are running in the same directions?

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  1. In 115 seconds
  2. In 122 seconds
  3. In 125 seconds
  4. In 120 seconds

Answer (Detailed Solution Below)

Option 3 : In 125 seconds
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Detailed Solution

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Given:

Track length = 625 m

Speeds of A and B = 90 km/h and 72 km/h respectively

Concept:

Time taken for two moving bodies to meet is the total distance divided by the relative speed.

Calculation:

⇒ Converting speeds to m/s, speed of A = 901000/3600 = 25 m/s, speed of B = 721000/3600 = 20 m/s

⇒ Relative speed (since they are moving in the same direction) = Speed of A - Speed of B = 25 - 20 = 5 m/s

⇒ Time for them to meet = Track length / Relative speed = 625/5 = 125 seconds

Therefore, they will meet again for the first time on the track after 125 seconds.

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