SOLUTION: Adam can mop a warehouse in eight hours. Wilbur can mop the same warehouse in twelve hours. If they worked together how long would it take them?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Adam can mop a warehouse in eight hours. Wilbur can mop the same warehouse in twelve hours. If they worked together how long would it take them?       Log On


   



Question 1180588: Adam can mop a warehouse in eight hours. Wilbur can mop the same warehouse in
twelve hours.
If they worked together how long would it take them?

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.

Their individual rates of work are  1%2F8  (for Adam)  and  1%2F12  (for Wilbur)  of the job per hour.


Hence, their combined rate of work is the sum


    1%2F8 + 1%2F12 = 3%2F24 + 2%2F24 = 5%2F24  of the job per hour.


It means that they will complete the job in  24%2F5 = 4 4%2F5 hours = 4 hours and 48 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.