SOLUTION: if Tammy can clean half the area in one hour by herself and melissa can clean one third the area in an hour by herself then how quickly can they clean the entire area together.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: if Tammy can clean half the area in one hour by herself and melissa can clean one third the area in an hour by herself then how quickly can they clean the entire area together.       Log On


   

Question 1059665: if Tammy can clean half the area in one hour by herself and melissa can clean one third the area in an hour by herself then how quickly can they clean the entire area together.
Answer by ikleyn(52752) About Me  (Show Source):
You can put this solution on YOUR website!
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if Tammy can clean half the area in one hour by herself and melissa can clean one third the area in an hour
by herself then how quickly can they clean the entire area together.
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Since Tammy can clean 1%2F2 of the area in 1 hour and since Melissa can clean 1%2F3 of the area in 1 hour, 
then working together they can clean 1%2F2+%2B+1%2F3 = 3%2F6+%2B+2%2F6 = 5%2F6 of the area in one hour.


Hence, they will complete all their cleaning work in the room in  1%2F%28%285%2F6%29%29 = 6%2F5 hour = 1 hour and 12 minutes.


Answer.  highlight%281_hour_and_12_minutes%29.

For a wide variety of similar solved joint-work problems with detailed explanations 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
in this site.

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".