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A cat runs a mile every 2 minutes. A squirrel runs a mile every 5 minutes. A cat and a squirrel start together running around a 1-mile track. How long will it be before they meet at the starting point?

A. 10 minutes
B. 20 minutes
C. 30 minutes
D. 40 minutes​

1 Answer

5 votes

To find when a cat and a squirrel meet at the starting point on a track, calculate the LCM of their lap times. The cat completes a lap in 2 minutes, and the squirrel in 5 minutes. The LCM of 2 and 5 is 10 minutes, so they meet every 10 minutes at the starting point.

The subject of this question is Mathematics, specifically dealing with rate and time problems. To find out when a cat and a squirrel will meet at the starting point of a one-mile track given their respective speeds, we need to calculate the Least Common Multiple (LCM) of their lap times.

The cat runs a mile every 2 minutes, so it completes a lap in 2 minutes. The squirrel runs a mile every 5 minutes, completing a lap in 5 minutes. The LCM of 2 and 5 is 10 minutes, which is the time it will take for both the cat and the squirrel to be at the starting point again after they begin their run. Therefore, the correct answer is A. 10 minutes.

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