<PRE><B>Question 976812</B>
Two painters, Joe and Sam, will paint a house working together. Working alone, Joe can paint the house in sixteen hours and Sam can paint it in twelve hours. How long will it take Joe and Sam to paint the house working together?
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Joe rate:: 1/16 job/hr
Sam rate:: 1/12 job/hr
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Together rate:: 1/x job/hr
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Equation:
rate + rate = together rate
1/16 + 1/12 = 1/x
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12x + 16x = 12*16
28x = 192
x = 48/7
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time to do the job together:: 48/7 hr = 6.86 hrs
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Cheers,
Stan H.
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