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

Algebra ->  Rate-of-work-word-problems -> 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      Log On


   



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(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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The master makes  1%2F15  of the job per hour.


The partner makes  1%2F20  of the job per hour.


Working together, they make  1%2F15+%2B+1%2F20 = 4%2F60+%2B+3%2F60 = 7%2F60  of the job per hour.


Hence, it will take them  60%2F7 = 84%2F7 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.