SOLUTION: working together nathaniel and his little sister asha can rake leaves in their backyard in 12 mins working alone asha can take leave in 30 mins how long would it take nathaniel to

Question 1115230: working together nathaniel and his little sister asha can rake leaves in their backyard in 12 mins working alone asha can take leave in 30 mins how long would it take nathaniel to rake the leaves on his own?
Answer by ikleyn(52754) (Show Source): You can put this solution on YOUR website!
.

Shortly speaking, in  =  =  = 20 minutes.


The detailed solution is THIS:


Working together, they make  of the job per minute.


Working alone, Asha makes  of the job per minute.


Hence, Nathaniel makes   =  =  =  of the job per minute.


It means that Nathaniel will make all the job in 20 minutes working alone.

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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.

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