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MathNet 2021 — Part 09 Question 84

Math Olympiad Vault · MathNet 2021 — Part 09

Question 84

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 $\frac{1}{2}$-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. $2\frac{3}{4}$
  2. $3\frac{3}{4}$
  3. $4\frac{1}{2}$
  4. $5\frac{1}{2}$
  5. $6\frac{3}{4}$