SOLUTION: Kendall can wax a particular car in 60 minutes. Chandi can wax the same car in 75 minutes. How long will it take them to wax the car working together?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Kendall can wax a particular car in 60 minutes. Chandi can wax the same car in 75 minutes. How long will it take them to wax the car working together?      Log On


   

Question 1080308: Kendall can wax a particular car in 60 minutes. Chandi can wax the same car in 75 minutes. How long will it take them to wax the car working together?
Answer by ikleyn(52805) About Me  (Show Source):
You can put this solution on YOUR website!
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Kendall's rate of work is 1%2F60 of the job per minute.

Chandi's rate of work is 1%2F75 of the job per minute.


Their combined rate of work is 1%2F60+%2B+1%2F75 = 5%2F%284%2A5%2A15%29+%2B+4%2F%284%2A5%2A15%29 = 9%2F%284%2A5%2A15%29 = 3%2F100 of the job per minute.


Therefore, it will take 100%2F3 minute = 331%2F3 minute = 33 minute and 20 seconds for Kendall and Chandi 
to complete the job working together.


It is 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".