Solve the problem.
-George and Matt have a painting business. George has less experience and it takes him 3 hours more to paint a medium sized room than it takes Matt. Working together they can paint a medium sized room in 6 hours. How long does it take each of them working individually? Round to the nearest tenth of an hour.
A)George: 12.0 hours, Matt: 9.0 hours
B)George: 14.5 hours, Matt: 11.5 hours
C)George: 12.9 hours, Matt: 9.9 hours
D)George: 13.7 hours, Matt: 10.7 hours

Question

Quizplus · Accepted Answer

Let $x$ be the time it takes for Matt to paint a room alone. Then, George takes $x + 3$ hours. Together, their rates add up to painting 1 room in 6 hours. So, $\frac{1}{x} + \frac{1}{x+3} = \frac{1}{6}$. Solving this equation gives $x = 10.7$ and $x + 3 = 13.7$.

Solve the Problem. -George and Matt Have a Painting Business. George Has Less