SOLUTION: Hi can you please help with this I am not getting it. Melanie can paint a certain barn by herself in x days. Her helper melissa can paint the same barn by herself in 2 xdays.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Hi can you please help with this I am not getting it. Melanie can paint a certain barn by herself in x days. Her helper melissa can paint the same barn by herself in 2 xdays.      Log On


   

Question 180629: Hi can you please help with this I am not getting it.

Melanie can paint a certain barn by herself in x days. Her helper melissa can paint the same barn by herself in 2 xdays. 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 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 2 xdays.
write a rational expression for the fraction of the barn that they complete in
one day by working together.
:

1%2Fx + 1%2F%282x%29
%282+%2B+1%29%2F%282x%29 = 3%2F%282x%29
:
evaluate the expression for x=5
3%2F%282%285%29%29 = 3%2F10 is the fraction of the barn painted in 1 day working together