# SOLUTION: 90.) Solve each problem 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

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: 90.) Solve each problem 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       Log On

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 Question 164394This question is from textbook Elementary and Intermediate : 90.) Solve each problem 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 fractions of the barn that they complete in one day by working together. Evaluate the expression for x = 5. This question is from textbook Elementary and Intermediate Answer by ptaylor(2048)   (Show Source): You can put this solution on YOUR website! Melanie paints at the rate of 1/x barns per day Melissa paints at the rate of 1/2x barns per day Together, they paint at the rate of 1/x + 1/2x =2/2x+1/2x=3/2x barns per day, so in 1 day they paint 3/2x of the barn. If x=5: 3/2x=3/2*5=3/10 of the barn CK Melanie Paints at the rate of 1/x barns per day if x=5, she paints 1/5 of the barn per day Melissa paints at the rate of 1/2x barns per day if x=5, she paints 1/10 of the barn per day So, 1/5 + 1/10=2/10+1/10=3/10 of the barn Hope this helps-----ptaylor