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2008 AMC 10B Question 18

AMC10 · 2008 AMC 10B

Question 18

Bricklayer Brenda would take $9$ hours to build a chimney alone, and bricklayer Brandon would take $10$ hours to build it alone. When they work together, they talk a lot, and their combined output is decreased by $10$ bricks per hour. Working together, they build the chimney in $5$ hours. How many bricks are in the chimney?
  1. $500$
  2. $900$
  3. $950$
  4. $1000$
  5. $1900$