SOLUTION: Andy can build a model plane in 12 hours. Bill can do the same in 24 hours. How long will it take the both of them working together to build the plane?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Andy can build a model plane in 12 hours. Bill can do the same in 24 hours. How long will it take the both of them working together to build the plane?      Log On


   

Question 1111314: Andy can build a model plane in 12 hours. Bill can do the same in 24 hours. How long will it take the both of them working together to build the plane?
Found 2 solutions by addingup, ikleyn:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
1/12 + 1/24 = 2/24 + 1/24 = 3/24 = 8 hours

Answer by ikleyn(52909) About Me  (Show Source):
You can put this solution on YOUR website!
.
Working together, they will make 1%2F12 + 1%2F24 = 2%2F24 + 1%2F24 = 3%2F24 = 1%2F8 of the work per hour.


So, they will complete the entire job in 8 hours.

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It is a 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.