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2006 AMC 12B Problem 5

Problem 5 of 25EasierArithmetic

John is walking east at a speed of 33 miles per hour, while Bob is also walking east, but at a speed of 55 miles per hour. If Bob is now 11 mile west of John, how many minutes will it take for Bob to catch up to John?

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Solution

Bob closes the gap at a relative speed of 5−3=25 - 3 = 2 miles per hour. To cover the 11-mile gap takes 12\frac{1}{2} hour, or 3030 minutes. Thus, the correct answer is A.
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Tagged: relative speed · distance rate and time

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