SOLUTION: Marissa can arrange the card catalog of the library in 8 days. The assistant take 12 days to do it. If they work together, what part of the card catalog is arranged after 4 days?

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Question 412931: Marissa can arrange the card catalog of the library in 8 days. The assistant take 12 days to do it. If they work together, what part of the card catalog is arranged after 4 days?

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Marissa ----- 8 days
so she does 1/8 of the job in 1 day
..
assistant ----- 12 days
she does 1/12 of the job in 1 day.
...
together they do 1/8 + 1/12 of the job in 1 day
=5/24 of the job in 1 day.
so in 4 days they will do
4*5/24 of the job
= 5/6 of the job in 4 days.