Multiple choice

Two friends, Amy and Ben, are at a fitness event held at a circular track with a circumference of 3,500 yards. Amy starts walking clockwise at a speed of 600 yards per minute, and Ben starts walking counterclockwise at a speed of 800 yards per minute. After how much time will Amy and Ben meet each other for the first time, excluding the starting time?

  1. 5 minutes

  2. 4.5 minutes

  3. 3 minutes

  4. 2.5 minutes

  5. 2 minutes
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Relative speed = 600 + 800 = 1400 yards/minute. Distance to cover for first meeting = 3500 yards. Time = 3500 / 1400 = 2.5 minutes.

AI explanation

Because Amy and Ben walk in opposite directions on a circular track, their relative speed is the sum of their individual speeds: 600 + 800 = 1400 yards per minute. The time taken to meet is the track circumference divided by their relative speed, which is 3500 divided by 1400. This results in a meeting time of 2.5 minutes.

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