SOLUTION: If Wanda were to paint her living room alone, it would take 2 hours. Her sister Patricia could do the job in 4 hours. How long would it take them working together? If needed, submi

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If Wanda were to paint her living room alone, it would take 2 hours. Her sister Patricia could do the job in 4 hours. How long would it take them working together? If needed, submi      Log On


   



Question 1178828: If Wanda were to paint her living room alone, it would take 2 hours. Her sister Patricia could do the job in 4 hours. How long would it take them working together? If needed, submit your answer as a fraction reduced to lowest terms.
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.

Their combined rate of work is   1%2F2+%2B+1%2F4 = 3%2F4  of the job per hour.


Therefore, the time required is  3%2F4  of an hour, which is  45 minutes.   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.