Middle School

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Two runners begin running laps around a one-mile track at the same time. The first runner completes a mile every 6 minutes and the second runner completes a mile every 8 minutes. After how long will the first runner lap the second runner?

Answer :

Final answer:

Using the least common multiple of the times it takes each runner to complete a mile, the first runner laps the second runner after 24 minutes.

Explanation:

This question is about calculating speed and time. The two runners are completing laps around a one-mile track. The first runner completes a mile every 6 minutes, while the second runner completes a mile every 8 minutes.

To determine after how long the first runner will lap the second runner, you should find the least common multiple (LCM) of the two times it takes each runner to complete a mile. In this case, the LCM of 6 and 8 is 24 minutes. Therefore, after 24 minutes, the first runner will have run 4 laps, while the second runner will have run only 3 laps, and so the first runner will have lapped the second runner.

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Rewritten by : Barada

This is a math question, but it's okay. 24 minutes is when they're tied because that's the least common denominator. Since the first runner is 6, I think being tied is the most he will get.