SOLUTION: If Patricia were to paint her living room alone, it would take 8 hours. Her sister Denise could do the job in 9 hours. How long would it take them working together?
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: If Patricia were to paint her living room alone, it would take 8 hours. Her sister Denise could do the job in 9 hours. How long would it take them working together?
Log On
Question 1056352: If Patricia were to paint her living room alone, it would take 8 hours. Her sister Denise could do the job in 9 hours. How long would it take them working together? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! If Patricia were to paint her living room alone, it would take 8 hours. Her sister Denise could do the job in 9 hours. How long would it take them working together?
---------------
Pat DATA::
time = 8 hrs/job ; rate = 1/8 job/hr
-------------------
Denise DATA:
time = 9 hrs/job ; rate = 1/9 job/hr
-----
Together DATA::
time = x hrs/job ; rate = 1/x job/hr
--------------------
Equation:
rate + rate = together rate
1/8 + 1/9 = 1/x
------------------------
9x + 2x = 8*9
11x = 76
x = 6.9 hrs = 6hr 54sec
--------------
Cheers,
Stan H.
---------------
(