SOLUTION: A can do a piece of work in 60 days, which B can do in 40 days. Both started the work but A left 10 days before the completion of the work. The work was finished in how many days?

Question 1179436: A can do a piece of work in 60 days, which B can do in 40 days. Both started the work but A left 10 days before the completion of the work. The work was finished in how many days?
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
.


Their combined rate of work is   =  =  = .


So, the time to complete the job would be 24 days, had they work together.


But A left the job after 14 days working together.


After 14 days working together, they completed  the part of   =   the job;

hence,    of the job remained.


Worker B completed the remaining part of the job in   =  =  =  days = 16 2/3  days.


ANSWER.  They worked 14 days together;  then A left the job,

         and worker B completed the job in  16 2/3 days working alone.

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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