SOLUTION: Barn Painting. Melanie can paint a certain burn 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

Algebra ->  Rational-functions -> SOLUTION: Barn Painting. Melanie can paint a certain burn 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      Log On


   

Question 203561This question is from textbook Elementary & Intermediate Algebra
: Barn Painting. Melanie can paint a certain burn 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 for x=5.
Please help solve the rational expression This question is from textbook Elementary & Intermediate Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If Melanie can paint the barn in x days, then she can paint 1%2Fx of the barn in 1 day.
If Melissa can paint the barn in 2x days, then she can paint 1%2F2x of the barn in 1 day.
Working together, they can paint highlight%281%2Fx+%2B+1%2F2x+=+3%2F2x%29 of the barn in 1 day.
If x = 5, then:
3%2F2x+=+3%2F%282%285%29%29=highlight%283%2F10+=+0.3%29