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?

Algebra ->  Rate-of-work-word-problems -> 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?      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
.
Their combined rate of work is 1%2F4 of the manuscript per hour.


Subtract 1%2F6 of the manuscript per hour, which is Rebecca's rate, from it:

1%2F4+-+1%2F6 = 3%2F12-2%2F12 = 1%2F12,

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.


----------
The lesson to learn from this solution:

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

----------


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".