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Martin and Charlie walks around a circular park every day. The park has a walkway 2.2 miles long. They both start walking at the same time but they walk in different directions. If Martin walks at a rate of 5 miles per hour and Charlie walks at a rate of 6 miles per hour, then how long will it take to meet them?

Question

Martin and Charlie walks around a circular park every day. The park has a walkway 2.2 miles long. They both start walking at the same time but they walk in different directions. If Martin walks at a rate of 5 miles per hour and Charlie walks at a rate of 6 miles per hour, then how long will it take to meet them?

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Solution

To solve this problem, we need to find out how long it will take for Martin and Charlie to cover the distance of the park's walkway when they are walking in opposite directions.

Step 1: Find out the total speed of Martin and Charlie combined. Since they are walking in opposite directions, their speeds are added together. So, the total speed is 5 mph (Martin's speed) + 6 mph (Charlie's speed) = 11 mph.

Step 2: Now, we need to find out how long it will take for them to meet. We can use the formula time = distance/speed. The distance here is the length of the park's walkway, which is 2.2 miles. The speed is the combined speed of Martin and Charlie, which is 11 mph.

So, time = 2.2 miles / 11 mph = 0.2 hours.

Therefore, it will take 0.2 hours for Martin and Charlie to meet. If you want to convert this time into minutes, you can multiply by 60 (since there are 60 minutes in an hour). So, 0.2 hours * 60 minutes/hour = 12 minutes.

So, Martin and Charlie will meet after 12 minutes.

This problem has been solved

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