On a circular track of circumference , two athletes and start simultaneously from the same starting point in the same direction with speeds of and respectively. After how much time from the start will they meet for the third time anywhere on the track?

Answer and explanation

Correct answer: C. 450 s

  1. Step 1: Calculate the relative speed of the two athletes running in the same circular direction: .
  2. Step 2: The time interval between any two consecutive meetings anywhere on the track equals the time to lap the track circumference: .
  3. Step 3: To meet for the third time anywhere on the track, the total time required is .
Answer
450 s.

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