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?
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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?
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Pat DATA::
time = 8 hrs/job ; rate = 1/8 job/hr
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Denise DATA:
time = 9 hrs/job ; rate = 1/9 job/hr
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Together DATA::
time = x hrs/job ; rate = 1/x job/hr
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Equation:
rate + rate = together rate
1/8 + 1/9 = 1/x
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9x + 2x = 8*9
11x = 76
x = 6.9 hrs = 6hr 54sec
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Cheers,
Stan H.
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