SOLUTION: rebecca can type a manuscript on 6 hours. if jessa helps her they can type the whole manuscript in 4 hours. how long would it take jessa if she did all the typing alone?

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Question 1086550: rebecca can type a manuscript on 6 hours. if jessa helps her they can type the whole manuscript in 4 hours. how long would it take jessa if she did all the typing alone?
Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.
Their combined rate of work is  of the manuscript per hour.


Subtract  of the manuscript per hour, which is Rebecca's rate, from it:

 =  = ,

and you will get the Jessa rate.


Thus Jessa will type the manuscript in 12 hours working alone.

Answer. Jessa will type the manuscript in 12 hours working alone.

Solved.


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The lesson to learn from this solution:

        You can distract from the combined rate to get the individual rate.

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It is 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".



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