SOLUTION: camille and laurence can each mop the floor and vacuum the carpets at their house in 2 hours. gaston needs 3 hours to do this same job by himself. if camille laurence and gaston wo

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Question 1066661: camille and laurence can each mop the floor and vacuum the carpets at their house in 2 hours. gaston needs 3 hours to do this same job by himself. if camille laurence and gaston work together how long will it take to clean the house
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
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Standard joint work problem for TWO participants, if you consider Camille and Laurence as ONE participant, as they really ARE in this problem.

Camille and Laurence make 1%2F2 of the job per hour.

Gaston makes 1%2F3 of the job per hour.

Together, all three make 1%2F2 + 1%2F3 = 5%2F6 of the job per hour.

Hence, it will take 6%2F5 of an hour for three to complete the job.

6%2F5 of an hour = 1 hour 12 minutes.

Solved.


There is a wide variety of similar solved joint-work problems with detailed explanations in 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".