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

Algebra.Com
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(52793)   (Show Source): You can put this solution on YOUR website!
.
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  of the job per hour.

Gaston makes  of the job per hour.

Together, all three make  +  =  of the job per hour.

Hence, it will take  of an hour for three to complete the job.

 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".


RELATED QUESTIONS

Rick can mop the gym floor in 4 hours, and Ron can mop the gym floor in 3 hours. lf... (answered by josgarithmetic)
Betty can mop the floor in 8 minutes. Together Betty and Nancy can mop the floor in just... (answered by LinnW)
Working together, Harold and Yolanda can mop the entire freshman wing in 4 hours. How... (answered by josgarithmetic)
Tanya and Cam can each wash a car and vacuum its interior in 2 hours Pat needs 3 hours to (answered by ikleyn)
One robot can vacuum a house in 10 hours. If a second robot is added and both are used,... (answered by ewatrrr)
Laurence and Naima are cycling around a circular track ,they leave at the same time to do (answered by ewatrrr)
Mary and Chris, together can clean their house in 2 hours. Mary alone can clean the house (answered by ptaylor)
Suppose that Helena and Corrine can clean their entire house in 7 hours, while their... (answered by josmiceli)
A truck leaves Gaston at noon traveling 55 mph. An hour later, a car leaves Gaston... (answered by aaronwiz)