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2021 AMC 10C Question 4

AMC10 · 2021 AMC 10C

Question 4

Mr. Lopez has a choice of two routes to get to work. Route A is $6$ miles long, and his average speed along this route is $30$ miles per hour. Route B is $5$ miles long, and his average speed along this route is $40$ miles per hour, except for a $\dfrac{1}{2}$-mile stretch in a school zone where his average speed is $20$ miles per hour. By how many minutes is Route B quicker than Route A?
  1. $2 \dfrac{3}{4}$
  2. $3 \dfrac{3}{4}$
  3. $4 \dfrac{1}{2}$
  4. $5 \dfrac{1}{2}$
  5. $6 \dfrac{3}{4}$