SOLUTION: Mark can finish a task alone in 24 days while Andres can do the same task in 18 days. If they work together, how long can they finish the task?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Mark can finish a task alone in 24 days while Andres can do the same task in 18 days. If they work together, how long can they finish the task?       Log On


   

Question 1093328: Mark can finish a task alone in 24 days while Andres can do the same task in 18 days. If they work together, how long can they finish the task?
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
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Mark makes 1%2F24 of the work per day. It is his rate of work.

Andres makes 1%2F18 of the work per day. It is his rate of work.

Working together, they make 1%2F24+%2B+1%2F18 = 3%2F72+%2B+4%2F72 = 7%2F72 of the work per day.


Hence, it will take 72%2F7 = 102%2F7 days for them to complete the job working together.


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It is a 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.