SOLUTION: please help me in this question: Eden can paint a house in 12 hours. Mimie can paint the same house in 9 hours, how long would it take them working together to paint the house?

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: please help me in this question: Eden can paint a house in 12 hours. Mimie can paint the same house in 9 hours, how long would it take them working together to paint the house? This question is from textbook

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Eden can paint a house in 12 hours. Mimie can paint the same house in 9 hours, how long would it take them working together to paint the house?
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Eden DATA:
time = 12 hr/job ;rate=(1/12) job/hr
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Mimie DATA:
time = 9 hr/job ; rate =(1/9) job/hr
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Together DATA:
time = x hr/job ; rate = (1/x)job/hr
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EQUATION:
rate + rate = rate together
1/12 + 1/9 = 1/x
Multiply thru by 36x to get:
3x + 4x = 36
7x=36
x=36/7 hrs or x=5 hr 9 minutes
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Cheers,
Stan H.

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