SOLUTION: Anita can paint the shed in 5 hours. If Kris helps her, they can paint the shed in 3 hours. How long would it take Kris to paint the shed alone?

Algebra ->  Equations -> SOLUTION: Anita can paint the shed in 5 hours. If Kris helps her, they can paint the shed in 3 hours. How long would it take Kris to paint the shed alone?      Log On


   

Question 436708: Anita can paint the shed in 5 hours. If Kris helps her, they can paint the shed in 3 hours. How long would it take Kris to paint the shed alone?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Anita can paint the shed in 5 hours. If Kris helps her, they can paint the shed in 3 hours. How long would it take Kris to paint the shed alone?
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Anita rate = 1/5 job/hr
Together rate = 1/3 job/hr
Kris rate = 1/x job/hr
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Equation:
rate + rate = together rate
1/x + 1/5 = 1/3
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Multiply thru by 15x to get:
15 + 3x = 5x
2x = 15
x = 7.5 hrs (time for Kris to do the job alone)
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Cheers,
Stan H.
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