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.

Vocaloid · Answer

Allen does 1/16 of the total project per hour

Brianne does 1/18

(1/16)x + (1/18)x = 1

Solve for x

Vocaloid · Answer

Closed due to answered.