SOLUTION: working along henry takes 9 hours longer than mary to clean the carpets in the entire office working together they clean the carpets in 6 hours how long wound it take mary to cle

Question 996949: working along henry takes 9 hours longer than mary to clean the carpets in the entire office working together they clean the carpets in 6 hours how long wound it take mary to clean the office carpets if henry were not there to help?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of working to get
their rate working together
Let = Mary's time to clean the carpets
------------------
Mary's rate working alone:
[ 1 office ] / [ t hrs ]
Henry's rate:
[ 1 office ] / [ t + 9 hrs ]
Working together:
[ 1 ofice ] / [ 6 hrs ]
---------------------

Multiply both sides by

( by looking at it )
( can't use negative time )
It takes Mary 9 hrs working alone
----------
check:

OK
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