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

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(2198) (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
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