SOLUTION: Beyoncé can weed her garden in 3 hours. It takes Jay-Z 4 hours to weed the garden. How long will it take to weed the garden if they work together? Leave your answer as a fractio

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Beyoncé can weed her garden in 3 hours. It takes Jay-Z 4 hours to weed the garden. How long will it take to weed the garden if they work together? Leave your answer as a fractio      Log On


   

Question 1103343: Beyoncé can weed her garden in 3 hours. It takes Jay-Z 4 hours to weed the garden. How long will it take to weed the garden if they work together? Leave your answer as a fraction or mixed number.
Answer by ikleyn(52890) About Me  (Show Source):
You can put this solution on YOUR website!
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Beyonce makes  1%2F3  of the job per hour.

Jay-Z makes  1%2F4  of the job per hour.


Working together they make  1%2F3 + 1%2F4 = 4%2F12 + 3%2F12 = 7%2F12  of the job per hour.


Hence, it will take  12%2F7 = 15%2F7 hours to complete the job if they work together.

Solved.

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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.