# RATL 2 | Lesson 4 | Try This (Rate Problems) Solutions

1. Two painters were hired to paint a building. The first painter could do it himself in 7 hours and the second painter could do the job himself in 5 hours. If the two painters work together, how long will it take the two painters to do the job.

***The hint for this problem is that the first painter can paint $$\dfrac{1}{7}$$ of the job per hour.  ***

Did you have the equation:

$$\dfrac{1}{7} + \dfrac{1}{5}=\dfrac{1}{t}$$

Solving for t,  it will take approximately 2.92 hours to complete the job

1. It takes two builders six months to build a house. One builder works 1.5 times faster than the other builder. How long would it take the slower builder to build the house by himself?

Ans:  3.6 months