MathDB
Highway Building Machines

Source:

February 15, 2009

Problem Statement

An engineer said he could finish a highway section in 3 3 days with his present supply of a certain type of machine. However, with 3 3 more of these machines the job could be done in 2 2 days. If the machines all work at the same rate, how many days would it take to do the job with one machine? <spanclass=latexbold>(A)</span> 6<spanclass=latexbold>(B)</span> 12<spanclass=latexbold>(C)</span> 15<spanclass=latexbold>(D)</span> 18<spanclass=latexbold>(E)</span> 36 <span class='latex-bold'>(A)</span>\ 6 \qquad<span class='latex-bold'>(B)</span>\ 12 \qquad<span class='latex-bold'>(C)</span>\ 15 \qquad<span class='latex-bold'>(D)</span>\ 18 \qquad<span class='latex-bold'>(E)</span>\ 36