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Two athletes start together from the same point of a circular track 400 m round and run in opposite directions at 3 m/s and 5 m/s. How many times do they meet in 10 minutes?

Competition practiceRatio, Percentage & Commercial Math
  • A8
  • B10
  • C12
  • D15

Step-by-Step Solution

In opposite directions they close 3 + 5 = 8 m every second, and a meeting happens each time they jointly cover one lap of 400 m — that is every 400/8 = 50 seconds. In 10 minutes = 600 seconds they meet 600/50 = 12 times.
Answer: C) 12

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