AMC 10 Step by Step
2008 AMC 10BProblem 18P16-20~3 minPrint

Bricklayer Brenda would take nine hours to build a chimney alone, and Bricklayer Brandon would take 1010 hours to build it alone. When they work together, they talk a lot, and their combined output decreases by 1010 bricks per hour. Working together, they build the chimney in 55 hours. How many bricks are in the chimney?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.