SOLUTION: Betty and Karen have been hired to paint the houses in a new development . Working together, the women can paint a house in two-thirds the time it takes Karen working alone. Betty

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Question 950721: Betty and Karen have been hired to paint the houses in a new development . Working together, the women can paint a house in two-thirds the time it takes Karen working alone. Betty takes 6 hours to paint a house alone. How long does it take Karen to paint a house working alone?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
"Paint a house" is 1 job.
Rate of each person or specified combination of persons is in unit JOBS per HOUR.

WHO______________RATE(job/hour)
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Betty&Karen______1%2F%28%282%2F3%29%2Ax%29
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Betty____________1%2F6
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Karen____________1%2Fx
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Simplify the expression for their combined rate.
3%2F%282x%29, Betty & Karen.

Their rate together is the sum of their individual rates.
highlight%281%2F6%2B1%2Fx=3%2F%282x%29%29
Solve the equation for x.