SOLUTION: Can someone help me out? #88. Barn painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a ration

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Question 154822This question is from textbook elementary and intermediate algebra
: Can someone help me out? #88. Barn painting. Melanie can paint a certain barn by herself in x days. Her helper 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 fo x = 5.
Thank you much. This question is from textbook elementary and intermediate algebra

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.
Melanie rate : 1/x job/day
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Her helper Melissa can paint the same barn by herself in 2x days.
Melissa rate : 1/(2x) job/day
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Write a rational expression for the fraction of the barn that they complete in one day by working together.
Together rate : (1/x) + 1/(2x) = (2+1)/(2x) = 3/(2x) job/day
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Evaluate the expression for x = 5.
3/(2*5) = 3/10 job/day
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Cheers,
Stan H.