SOLUTION: Maggie can mow the lawn in 6 hours. If her sister Julie helpers her, it only takes 2 hours. How long would it take Julie to mow the lawn alone?

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Question 1101061: Maggie can mow the lawn in 6 hours. If her sister Julie helpers her, it only takes 2 hours. How long would it take Julie to mow the lawn alone?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = Julie's time in hrs mowing alone
Maggie's rate of mowing:
[ 1 lawn mowed ] / [ 6 hrs ]
Julie's rate of mowing:
[ 1 lawn mowed ] / [ t hrs ]
Their rate mowing together:
[ 1 lawn mowed ] / [ 2 hrs ]
----------------------------
Add their rates of mowing to get
their rate mowing together:

Multiply both sides by


hrs
Julie will take 3 hrs to mow the lawn alone
---------------------------------------
check:



OK
Answer by ikleyn(52756)   (Show Source): You can put this solution on YOUR website!
.
Maggie and Julie mow together  of the lawn area per hour.


Maggie working alone mows  of the lawn area per hour.

It means that Julie mows  -  =  -  =  =  of the lawn area per hour working alone.


Hence, it will take 3 hours for Julie to mow the lawn working alone.

Solved.

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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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