SOLUTION: 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 fract

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Question 79765This question is from textbook Elementary and Intermediate Algebra
: 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. Ebaluate the expression fo x = 5 This question is from textbook Elementary and Intermediate Algebra

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!

Melanie paints barns at the rate of 1/x barns per day
Melissa paints barns at the rate of 1/2x barns per day
Together they paint barns at the rate of 1/x+1/2x barns per day
1/x=2/2x
So in one day they can paint 2/2x+1/2x=3/2x of the barn
If x=5, then they can paint 3/10 of the barn in 1 day

Hope this helps----ptaylor