Help, please. I need an explanation on how a problem like this would work...

Joselyn is a manager at a sign-painting company. She has two painters, Allen and Brianne. Allen can complete a large project in 16 hours. Brianne can complete the project in 18 hours. Joselyn wants to know how long it will take them to complete the project together.

Question

Help, please. I need an explanation on how a problem like this would work...


Joselyn is a manager at a sign-painting company. She has two painters, Allen and Brianne. Allen can complete a large project in 16 hours. Brianne can complete the project in 18 hours. Joselyn wants to know how long it will take them to complete the project together.

anonymous · Answer

$$\frac{ 1 }{ 16 }+\frac{ 1 }{ 18 }=\frac{ 1 }{ x }$$

Is this the proper setup for a problem like this?