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.

Answer 1

The formula for these types of problems, called Work problems, is this:
1/alone time (together time) for each person on the job. The sum of these parts of the job add to one.

So for this problem Allen's fraction would be 1/16,
Brianne's 1/18
and
Charles 1/x since we don't know his alone time.

If they do the job together for Joslyn, she would then have the "together time" and plug it in next to each fraction....
together they would make 1..the whole job...

Let's say it takes 10 hours to do the job together...then it would look like this:
1/16(10) + 1/18 (10) + 1/x(10) =1

solve for x, which is Charles' alone time.

Answer 2

copy, paste LOL, anyways, I'll give you a medal

Answer 3

IK