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2025 AMC 8 Question 19

AMC8 · 2025 AMC 8

Question 19

Two towns, $A$ and $B,$ are connected by a straight road, $15$ miles long. Traveling from town $A$ to town $B,$ the speed limit changes every $5$ miles: from $25$ to $40$ to $20$ miles per hour (mph). Two cars, one at town $A$ and one at town $B,$ start moving toward each other at the same time. They drive at exactly the speed limit in each portion of the road. How far from town $A,$ in miles, will the two cars meet?

Question illustration
  1. $7.75$
  2. $8$
  3. $8.25$
  4. $8.5$
  5. $8.75$