MathDB
Bricklayers

Source: AMC 12 2008B Problem 10

February 29, 2008
AMC

Problem Statement

Bricklayer Brenda would take 9 9 hours to build a chimney alone, and bricklayer Brandon would take 10 10 hours to build it alone. When they work together they talk a lot, and their combined output is decreased by 10 10 bricks per hour. Working together, they build the chimney in 5 5 hours. How many bricks are in the chimney? <spanclass=latexbold>(A)</span> 500<spanclass=latexbold>(B)</span> 900<spanclass=latexbold>(C)</span> 950<spanclass=latexbold>(D)</span> 1000<spanclass=latexbold>(E)</span> 1900 <span class='latex-bold'>(A)</span>\ 500 \qquad <span class='latex-bold'>(B)</span>\ 900 \qquad <span class='latex-bold'>(C)</span>\ 950 \qquad <span class='latex-bold'>(D)</span>\ 1000 \qquad <span class='latex-bold'>(E)</span>\ 1900