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2023 AMC 12A Question 1

AMC12 · 2023 AMC 12A

Question 1

Cities $A$ and $B$ are $45$ miles apart. Alicia lives in $A$ and Beth lives in $B.$ Alicia bikes towards $B$ at $18$ miles per hour. Leaving at the same time, Beth bikes toward $A$ at $12$ miles per hour. How many miles from City $A$ will they be when they meet?
  1. $20$
  2. $24$
  3. $25$
  4. $26$
  5. $27$