MathDB
Get to Work Speedrun Any %

Source: AMC 12A #3

November 11, 2021

Problem Statement

Mr. Lopez has a choice of two routes to get to work. Route A is 66 miles long, and his average speed along this route is 3030 miles per hour. Route B is 55 miles long, and his average speed along this route is 4040 miles per hour, except for a 12\frac{1}{2}-mile stretch in a school zone where his average speed is 2020 miles per hour. By how many minutes is Route B quicker than Route A?
<spanclass=latexbold>(A)</span> 234<spanclass=latexbold>(B)</span> 334<spanclass=latexbold>(C)</span> 412<spanclass=latexbold>(D)</span> 512<spanclass=latexbold>(E)</span> 634<span class='latex-bold'>(A)</span>\ 2 \frac{3}{4} \qquad<span class='latex-bold'>(B)</span>\ 3 \frac{3}{4} \qquad<span class='latex-bold'>(C)</span>\ 4 \frac{1}{2} \qquad<span class='latex-bold'>(D)</span>\ 5 \frac{1}{2} \qquad<span class='latex-bold'>(E)</span>\ 6 \frac{3}{4}