SOLUTION: A painter can paint a kitchen in 12 hours. An apprentice can paint the same kitchen in 24 hours. If they worked together, how long would it take them to paint the kitchen?

Question 770147: A painter can paint a kitchen in 12 hours. An apprentice can paint the same kitchen in 24 hours. If they worked together, how long would it take them to paint the kitchen?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A painter can paint a kitchen in 12 hours. An apprentice can paint the same kitchen in 24 hours. If they worked together, how long would it take them to paint the kitchen?
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Painter rate:: 1/12 job/hr
Apprentice:::: 1/24 job/hr
Together rate: 1/x job/hr
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Equation:
1/12 + 1/24 = 1/x
24x + 12x = 12*24
36x = 12*24
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x = 8 hrs (amt. of time to do the job together)
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Cheers,
Stan H.
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