George jogged the trail to the waterfall at 120 yards per minute and walked back at 80 yards per minute. If the entire trip took two hours, how long is the trail in yards, to the nearest 10th of a mile?

To find the length of the trail in yards, we need to determine the total distance George traveled in yards. Let's first calculate the total time George spent jogging and walking. The trail is approximately 6.8 miles long.

Explanation:

To find the length of the trail in yards, we need to determine the total distance George traveled in yards. Let's first calculate the total time George spent jogging and walking. If the entire trip took two hours, and George jogged at 120 yards per minute, he spent 120 * 60 = 7200 yards jogging. Similarly, if George walked back at 80 yards per minute, he spent 80 * 60 = 4800 yards walking back.

So, the total distance George traveled is 7200 + 4800 = 12000 yards. To convert yards to miles, divide by 1760 (1 mile = 1760 yards). Therefore, the trail is approximately 12000 / 1760 = 6.82 miles long. Rounded to the nearest tenth of a mile, the trail is approximately 6.8 miles long.

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