SOLUTION: a master cabinent maker can make a cabinent in 11 hours. he hires and apprentice and together they make a cabinent in 9 hours. how many hours does it take the apprentice to make a

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Question 383995: a master cabinent maker can make a cabinent in 11 hours. he hires and apprentice and together they make a cabinent in 9 hours. how many hours does it take the apprentice to make a cabinent?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
a master cabinent maker can make a cabinent in 11 hours. he hires and apprentice and together they make a cabinent in 9 hours. how many hours does it take the apprentice to make a cabinent?
...
master takes 11 hours
so he does 1/11 of the job in 1 hour.
...
together they complete it in 9 hours
so they can do 1/9 of the job in 1 hour
...
job done by both - job done by master = job done by apprentice in 1 hour
1/9 -1/11
=(11-9)99
=2/99
2/99 of the job in 1 hour
so apprentice will take 99/2 hours
= 49.5 hours
...
m.ananth@hotmail.ca