SOLUTION: Hello! I have a word problem that I am having trouble with on my algebra homework... If you would help that would be awesome! Here it is: Jessica can type a manuscript in 8 hour

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Hello! I have a word problem that I am having trouble with on my algebra homework... If you would help that would be awesome! Here it is: Jessica can type a manuscript in 8 hour      Log On


   



Question 857258: Hello! I have a word problem that I am having trouble with on my algebra homework... If you would help that would be awesome!
Here it is:
Jessica can type a manuscript in 8 hours. Heather can type the same manuscript in 13 hours. If they work together, how long will it take to process the manuscript?
Thank you!

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Jessica can type a manuscript in 8 hours. Heather can type the same manuscript in 13 hours. If they work together, how long will it take to process the manuscript?
Jessica can type a manuscript in 8 hours.
she can do 1/8 of the job in 1 hour
Heather can type the same manuscript in 13 hours.
he can do 1/13 of the job in 1 hour

Together they can do
1/8 + 1/13 of the job in 1 hour
(13+8)/13*8 of the job in 1 hour
21/104
so they will take 104/21 hours to complete the job together
=4.95 hours