SOLUTION: 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 th
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: 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 th
Log On
Question 288764: 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 richwmiller(17219) (Show Source):
You can put this solution on YOUR website! y/x+y/2x=1
2y+y=2x
3y=2x
y=2x/3
It will take them 2x/3 days together
so in one day they will complete 1/2x/3 or 3/(2x) of the job
y/5+y/10=1
2y+y=10
3y=10
y=10/3
in one day they will complete 1/10/3=1*3/10=3/10 of the job in one day
check
2x/3=10/3
2x=10
x=5
ok
