SOLUTION: a cabinetmaker can make a set of kitchen cabinets in 15 hours. his partner can make the same set of kitchen cabinets in 20 hours. how long would it take them working together to ma

Question 1117457: a cabinetmaker can make a set of kitchen cabinets in 15 hours. his partner can make the same set of kitchen cabinets in 20 hours. how long would it take them working together to make the set of kitchen cabinets?
Answer by ikleyn(52779) (Show Source): You can put this solution on YOUR website!
.

The master makes    of the job per hour.


The partner makes    of the job per hour.


Working together, they make   =  =   of the job per hour.


Hence, it will take them   =  hours = 8 hours and 35 minutes (approximately) to complete the job working together.

Solved.

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It is a typical and standard 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.

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