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Length of trip

Source: 2011 AMC A Problem 15

June 25, 2011
AMC

Problem Statement

Roy bought a new battery-gasoline hybrid car. On a trip the car ran exclusively on its battery for the first 40 miles, then ran exclusively on gasoline for the rest of the trip, using gasoline at a rate of 0.02 gallons per mile. On the whole trip he averaged 55 miles per gallon. How long was the trip in miles?
<spanclass=latexbold>(A)</span>140<spanclass=latexbold>(B)</span>240<spanclass=latexbold>(C)</span>440<spanclass=latexbold>(D)</span>640<spanclass=latexbold>(E)</span>840<span class='latex-bold'>(A)</span>\,140 \qquad<span class='latex-bold'>(B)</span>\,240 \qquad<span class='latex-bold'>(C)</span>\,440 \qquad<span class='latex-bold'>(D)</span>\,640 \qquad<span class='latex-bold'>(E)</span>\,840