SOLUTION: 88. 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 ba

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 88. 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 ba      Log On


   



Question 113996This question is from textbook Elementrary and intermediat algebra
: 88. 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 This question is from textbook Elementrary and intermediat algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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.
:
One day working together:
1%2Fx + 1%2F%282x%29 = %28%282+%2B+1%29%29%2F%282x%29 = 3%2F%28%282x%29%29
:
Evaluate the expression for x = 5:
3%2F%28%282%2A5%29%29 = 3%2F10 of the barn painted in 1 day working together