SOLUTION: Barn Painting. Jan can paint a certain barn by herself in x days. Her helper June can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the

Question 59728: Barn Painting. Jan can paint a certain barn by herself in x days. Her helper June can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn they complete in one day by working together. Evaluate the expression x =5
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Barn Painting. Jan can paint a certain barn by herself in x days. Her helper June can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn they complete in one day by working together. Evaluate the expression x =5
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Jan DATA:
Time to paint = x days/job ; Rate = 1/x job/day
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June DATA:
Time to paint = 2x days/job ; Rate = 1/2x job/day
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Together DATA:
Rate = 1/x + 1/2x job/day
(2x+x)/2x^2 job/day
3x/2x^2 job/day
(3/2x) job/day
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If x=5, they together complete (3/2*5)= 3/10 job in a day
Cheers,
Stan H.
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