MathDB
Two Burning Candles

Source:

February 14, 2009

Problem Statement

Two candles of the same height are lighted at the same time. The first is consumed in 4 4 hours and the second in 3 3 hours. Assuming that each candle burns at a constant rate, in how many hours after being lighted was the first candle twice the height of the second? <spanclass=latexbold>(A)</span> 34<spanclass=latexbold>(B)</span> 112<spanclass=latexbold>(C)</span> 2<spanclass=latexbold>(D)</span> 225<spanclass=latexbold>(E)</span> 212 <span class='latex-bold'>(A)</span>\ \frac {3}{4} \qquad<span class='latex-bold'>(B)</span>\ 1\frac {1}{2} \qquad<span class='latex-bold'>(C)</span>\ 2 \qquad<span class='latex-bold'>(D)</span>\ 2\frac {2}{5} \qquad<span class='latex-bold'>(E)</span>\ 2\frac {1}{2}