Using the together rate, it is found that it will take them 3.23 hours working together to paint the room.
The together rate is the sum of each separate rate.
In this problem, the rates are as follows:
Hence:
[tex]\frac{1}{x} = \frac{1}{7} + \frac{1}{6}[/tex]
[tex]\frac{1}{x} = \frac{7 + 6}{42}[/tex]
[tex]x = \frac{42}{13}[/tex]
[tex]x = 3.23[/tex]
It will take them 3.23 hours working together to paint the room.
To learn more about the together rate, you can take a look at https://brainly.com/question/25159431