SOLUTION: Melanie can paint a certain barn by herself in "x" days. Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fration of the barn that they

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Question 209604: Melanie can paint a certain barn by herself in "x" days. Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fration of the barn that they complete in one day by working together. Evaluate the expression for x=5.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Melanie can paint a certain barn by herself in "x" days. Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x=5.
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Melanie DATA:
time = x day/job ; rate = 1/x job/day
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Melissa DATA:
time = 2x day/job ; rate = 1/2x job/day
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Together DATA:
rate + rate = together rate
1/x + 1/2x = (2x+x)/2x^2 = 3x/2x^2 = 3/2x job/day
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Cheers,
Stan H.
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