SOLUTION: One crew can put up holiday decorations in the mall in 8 hours. If a slower crew can put up the decorations in 10 hours, how long will it take if both crews work together?

Question 1192446: One crew can put up holiday decorations in the mall in 8 hours. If a slower crew can put up the decorations in 10 hours, how long will it take if both crews work together?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
One crew can put up holiday decorations in the mall in 8 hours. If a slower crew can put up the decorations in 10 hours, how long will it take if both crews work together?
======================
both work together?
What if only one of them works together?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

Rate of work of the first crew is of the job per hour; rate of work of another crew is of the job per hour and the combined rate of work is the sum = = = of the job per hour. It means that the entire job will be completed by the two crews in hours = 4 hours = 4 hours, 26 minutes and 40 seconds. ANSWER

Solved.

On the way, from my post you learned three important things:

(1) what is the rate of work; (2) that the combined rate of work is the sum of individual rates; (3) and how to use the gained knowledge to solve this one and many other similar problems.

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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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