SOLUTION: X can do a job in 16 days Y can do the same job in 20 days if X,Y and Z can do the job in 7.5 days . Alone Z can do the same job in ...?

Question 1139743: X can do a job in 16 days Y can do the same job in 20 days if X,Y and Z can do the job in 7.5 days . Alone Z can do the same job in ...?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

Rate of work for X is    of the job per day.


Rate of work for Y is    of the job per day.


The combined rate of work for X, Y and Z is   =   of the job per day.


Hence, the individual rate of work for Z is   = (the common denominator is 240) =  =  =  = .


It means that Z will complete the job in  48 days working alone.    ANSWER

Solved.

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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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