SOLUTION: Michael can do the household chores in 2 hours and Gabriel can do it in 3 hours. If they work together, how long will it take Michael and Gabriel to do the household chores?

Question 1133387: Michael can do the household chores in 2 hours and Gabriel can do it in 3 hours. If they work together, how long will it take Michael and Gabriel to do the household chores?

Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.

Michael can do    of the job per hour - it is his rate of work.


Gabriel can do    of the job per hour - it is his rate of work.


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


Hence, they need   of an hour =  of an hour = 1 hour and 12 minutes to complete the job, 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.

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