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Brandon and his dad are painting the three bedrooms in their house. Each bedroom is the same size.
Brandon painted the first bedroom by himself in six hours. His dad painted the second bedroom by himself in four hours.
If the work together on the third bedroom, how long should it take?
A) if Brandon can paint a whole bedroom in 6 hours, what fraction of the bedroom can he paint in one hour?
of the bedroom in one hour.
B) if his dad can paint a whole bedroom in 4 hours, what fraction of bedroom can he paint in one hour?
of the bedroom in one hour.
C) working together, what fraction of the bedroom can they paint in one hour?
= = of the bedroom in one hour.
D) how many hours will it take Brandon and his dad to finish painting the third bedroom?
hours = 2 hours and 24 minutes.
E) Brandon has a brother, George, that can paint a bedroom by himself in eight hours.
If George is helping too, how long will it take all three of them to paint the third bedroom?
= = = hours.
Find my answers inside your post.
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It is a standard and typical joint work problem.
There is a wide variety of similar solved joint-work problems with detailed explanations in this site. See the lessons
- Using Fractions to solve word problems on joint work
- Solving more complicated word problems on joint work
- Selected joint-work word problems from the archive
Read them and get be trained in solving joint-work problems.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this textbook under the topic
"Rate of work and joint work problems" of the section "Word problems".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.