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AMC 10 2008b Problem 25

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Michael walks at the rate of 55 feet per second on a long straight path. Trash pails are located every 200200 feet along the path. A garbage truck traveling at 1010 feet per second in the same direction as Michael stops for 3030 seconds at each pail. As Michael passes a pail, he notices the truck ahead of him just leaving the next pail. How many times will Michael and the truck meet? (A) 4(B) 5(C) 6(D) 7(E) 8\mathrm{(A)}\ 4 \mathrm{(B)}\ 5 \mathrm{(C)}\ 6 \mathrm{(D)}\ 7 \mathrm{(E)}\ 8

Dataset text NuminaMath-1.5. Quoted with source.

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