SOLUTION: The secretary of the council can draft a communication letter in 15 mins while the assistant secretary can finish the same in 32 minutes. How long will it take for both of them to

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Question 1163539: The secretary of the council can draft a communication letter in 15 mins while the assistant secretary can finish the same in 32 minutes. How long will it take for both of them to do the job?
Answer by ikleyn(52866) About Me  (Show Source):
You can put this solution on YOUR website!
.

Their combined rate of work is


    1%2F15 + 1%2F32 = 32%2F%2815%2A32%29+%2B+15%2F%2815%2A32%29 = %2832%2B15%29%2F%2815%2A32%29 = 47%2F480  of the job per minute.


Hence, they will complete the job in  480%2F47 = about 10.2  minutes.           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.