SOLUTION: It takes Andy 45 minutes to clean the kitchen. His sister Anita can do the job in 30 minutes. How long would it take Andy and Anita to clean the kitchen if they worked together?

Question 1129851: It takes Andy 45 minutes to clean the kitchen. His sister Anita can do the job in 30 minutes. How long would it take Andy and Anita to clean the kitchen if they worked together?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
MINUTES

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

Every minute, Andy does of the job, working alone. Every minute, Anita does of the job, working alone. Working together, they do + = = = of the job every minute. Hence, they will complete their job in 18 minutes, working together.

Solved.

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It is a standard and typical joint work problem.

There is a wide variety of similar solved introductory 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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