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

Algebra ->  Algebra  -> Numeric Fractions Calculators, Lesson and Practice -> 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      Log On

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Question 170024: 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 ankor@dixie-net.com(12692) About Me  (Show Source):
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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
:
Let the completed job = 1
:
1%2Fx + 1%2F%28%282x%29%29 = %282+%2B+1%29%2F%282x%29 = 3%2F%282x%29
:
Evaluate the expression for x = 5
:
3%2F%28%282%2A5%29%29 = 3%2F10 of the barn painted in one day
: