MathDB
Sharon's Long Drive

Source: 2017 AMC 12A #13

February 8, 2017
AMCAMC 12AMC 12 A2017 AMC 12A

Problem Statement

Driving at a constant speed, Sharon usually takes 180180 minutes to drive from her house to her mother's house. One day Sharon begins the drive at her usual speed, but after driving 13\frac{1}{3} of the way, she hits a bad snowstorm and reduces her speed by 2020 miles per hour. This time the trip takes her a total of 276276 minutes. How many miles is it from Sharon's house to her mother's house?
<spanclass=latexbold>(A)</span> 132<spanclass=latexbold>(B)</span> 135<spanclass=latexbold>(C)</span> 138<spanclass=latexbold>(D)</span> 141<spanclass=latexbold>(E)</span> 144<span class='latex-bold'>(A)</span>\ 132\qquad<span class='latex-bold'>(B)</span>\ 135\qquad<span class='latex-bold'>(C)</span>\ 138\qquad<span class='latex-bold'>(D)</span>\ 141\qquad<span class='latex-bold'>(E)</span>\ 144