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2008 AMC 10A Problem 13

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2008 AMC 10A Problem 13AMC 10 Step by Step
Name:                             Date: September 13, 2026
Linear Equations & Word Problems · difficulty 2 of 5 · about 1 min · position P11-15

Doug can paint a room in 55 hours. Dave can paint the same room in 77 hours. Doug and Dave paint the room together and take a one-hour break for lunch. Let tt be the total time, in hours, required for them to complete the job working together, including lunch. Which of the following equations is satisfied by tt ?

  1. A)

    (15+17)(t+1)=1\left(\frac{1}{5}+\frac{1}{7}\right)\left(t+1\right)=1

  2. B)

    (15+17)t+1=1\left(\frac{1}{5}+\frac{1}{7}\right)t+1=1

  3. C)

    (15+17)t=1\left(\frac{1}{5}+\frac{1}{7}\right)t=1

  4. D)

    (15+17)(t−1)=1\left(\frac{1}{5}+\frac{1}{7}\right)\left(t-1\right)=1

  5. E)

    (5+7)t=1\left(5+7\right)t=1

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