MathDB
Lawnmowers

Source:

February 27, 2008
geometry

Problem Statement

Andy's lawn has twice as much area as Beth's lawn and three times as much area as Carlos' lawn. Carlos' lawn mower cuts half as fast as Beth's mower and one third as fast as Andy's mower. If they all start to mow their lawns at the same time, who will finish first?
<spanclass=latexbold>(A)</span> Andy<spanclass=latexbold>(B)</span> Beth<spanclass=latexbold>(C)</span> Carlos<spanclass=latexbold>(D)</span> Andy and Carlos tie for first. <span class='latex-bold'>(A)</span>\ \text{Andy} \qquad <span class='latex-bold'>(B)</span>\ \text{Beth} \qquad <span class='latex-bold'>(C)</span>\ \text{Carlos} \qquad <span class='latex-bold'>(D)</span>\ \text{Andy and Carlos tie for first.} <spanclass=latexbold>(E)</span> All three tie.<span class='latex-bold'>(E)</span>\ \text{All three tie.}