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.

Write an equation and solve for the time it takes Allen and Brianne to complete the project together. Explain each step.

Question

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.

Write an equation and solve for the time it takes Allen and Brianne to complete the project together. Explain each step.

SmokeyBrown · Answer

Hi, and welcome to QuestionCove!

Since Allen completes the project in 16 hours, we can say that Allen completes 1/16 of the project per hour. Likewise, Brianne can complete the project in 18 hours, so she completes 1/18 of the project each hour.

Working together, Allen and Brianne complete (1/16 + 1/18) of the project each hour. Based on this, you can find out how many hours it takes them to complete the project:
1/(1/16 + 1/18) = ??? hours

GGF4LIfeAlways · Answer

Can anyone that is available,explain more in dept,if possible?

GGF4LIfeAlways · Answer

*depth