SOLUTION: It takes Maya 90 minutes to put a futon frame together, and it takes her friend Sam 60 minutes to put the same type of futon frame together. If they worked together, how long would

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Question 1146847: It takes Maya 90 minutes to put a futon frame together, and it takes her friend Sam 60 minutes to put the same type of futon frame together. If they worked together, how long would it take them?
Answer by ikleyn(52878) About Me  (Show Source):
You can put this solution on YOUR website!
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Maya makes  1%2F90  part of the job per minute.


Her friend makes  1%2F60  part of the job per minute.


Working together, they make  1%2F90 + 1%2F60 = 2%2F180 + 3%2F180 = 5%2F180 = 1%2F36  part of the job per minute.


Hence, they will complete the job in 36 minutes, working together.    ANSWER

Solved.

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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.