2023 AMC 10A Problem 1
Problem 1 of 25EasierAlgebra
Cities and are miles apart. Alicia lives in and Beth lives in Alicia bikes towards at miles per hour. Leaving at the same time, Beth bikes toward at miles per hour. How many miles from City will they be when they meet?
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Solution
They ride toward each other, so their speeds add. That closes the -mile gap at mph, and they meet after hours. Alice starts at so by then she’s gone miles. Thus, E is the correct answer.