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.
I know that it'll be 1/16 + 1/18 = 1 ? And I know you're supposed to find the common denominator and all that but I'm so confused for some reason. Can someone walk me through this please?
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Are you confused on finding the common denominator?
I actually think I solved the problem, but I'm not sure if it's right?
1/16 + 1/18 = 1/1
So, find the common denominator, which is 144.
9/144 + 8/144 = 1/144
18/144 = 8. so together, they can complete it in 8 hours.
Not the answer you are looking for? Search for more explanations.
It takes them x hours to do the job together.
Allen can complete a large project in 16 hours.
Brianne can complete the project in 18 hours.
Allen and Brianne can complete the project in x hours.
In 1 hour, Allen does 1/16 of the job.
In 1 hour, Brianne does 1/18 of the job.
In 1 hour, Allen & Brianne combined do 1/x of the job.
When they work together for 1 hour, they do
1/16 + 1/18 = 1/x
Solve for x
9/144 + 8/144 = 1/x
17/144 = 1/x
x = 144/17