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 fracti

Question 169676: 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. Evaluate the expression for x = 5.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
so if melanie can paint the barn in x days and Melissa can do it in 2x days then the portion melanie does per day is (1/x) and the portion Melissa does per day is (1/2x)
together they can paint the barn in (t/x)+(t/2x)=1job.....that is the rational expression for the fraction of the barn they can complete in 1day.
if x=5days then 2x=10days...together they can paint the barn in
:
(t/5)+(t/10)=1----> multiply terms by 10--->2t+1t=10--->3t=10
:
days for both to paint the barn if x=5

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