SOLUTION: Dan can paint the room in 3 hours, Jill can paint the same room in 5 hours. How long will it take to paint the room if they work together?

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Question 1169504: Dan can paint the room in 3 hours, Jill can paint the same room in 5 hours. How long will it take to paint the room if they work together?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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Dan can paint the room in 3 hours, Jill can paint the same room in 5 hours. How long will it take to paint the room if they work together?
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Their combined rate of work is  1%2F3 + 1%2F5 = 5%2F15+%2B+3%2F15 = 8%2F15  of the job per hour.


Therefore, the process will take  15%2F8 hours = 1 7%2F8 hours = 1 hour and 52.5 minutes.

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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Regarding part (b), what happened with them at the pandemic time ?

Hope they are safe . . .