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On a 400 m track, two athletes start together from the start line and run the same way at 5 m/s and 3 m/s. After how many seconds are both at the start line together for the first time?

Competition practiceRaces & Circular Tracks
  • A400 s
  • B200 s
  • C80 s
  • D1200 s

Step-by-Step Solution

Lap times are 80 s and s. The first common multiple: , so 400 s. (200 s is when the faster first laps the slower, not at the start line.)
Answer: A) 400 s

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