SOLUTION: Please help me solve this so I can show my daughter. It takes Sandra 15 hours to complete a job. Garland can complete the job in 12 hours. How long will it take them to do the

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Question 1107566: Please help me solve this so I can show my daughter.
It takes Sandra 15 hours to complete a job. Garland can complete the job in 12 hours. How long will it take them to do the job working together?
THank you.

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
This form of constant rates exercises is too common.


Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
Since "It takes Sandra 15 hours to complete a job", she makes  of the job per hour.
    It is her "rate of work".



Since "Garland can complete the job in 12 hours", he makes  of the job per hour.
    It is his "rate of work".


Working together, they make  +  part of the job per hour.
    It is their combined rate of work.


     +  =  =  = .


Thus they make    of the work per hour.  Every hour.


Hence, it will take them    hours =  hours = 6 hours and 40 minutes to complete the job working together.

Solved.

------------------
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.



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