SOLUTION: If Patricia were to paint her living room alone, it would take 5 hours. Her sister Gloria could do the job in 8 hours. How long would it take them working together? If needed, subm
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Question 1154233: If Patricia were to paint her living room alone, it would take 5 hours. Her sister Gloria could do the job in 8 hours. How long would it take them working together? If needed, submit your answer as a fraction reduced to lowest terms.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If Patricia were to paint her living room alone, it would take 5 hours. Her sister Gloria could do the job in 8 hours. How long would it take them working together? If needed, submit your answer as a fraction reduced to lowest terms.
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P does the 1/5 of the job per hour.
G does the 1/8 of the job per hour.
Together, they do 1/5 + 1/8 of the job per hour.
= 13/40 of the job each hour
The inverse of job/hour = hours per job
---> 40/13 hours to do it together.
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For a shortcut:
t = 5*8/(5+8) = 40/13 hours
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