# SOLUTION: Melanie can paint a certain barn by herself in x days. Her helper Melisa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn tha

Algebra ->  Algebra  -> Human-and-algebraic-language -> SOLUTION: Melanie can paint a certain barn by herself in x days. Her helper Melisa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn tha      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Translating English into Algebreze Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Human-and-algebraic-language Question 217413: Melanie can paint a certain barn by herself in x days. Her helper Melisa 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 Alan3354(30993)   (Show Source): You can put this solution on YOUR website! Melanie can paint a certain barn by herself in x days. Her helper Melisa 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 ------------- Melanie paints 1/x of the barn per day. Melisa paints 1/2x per day. Together, they do 1/x + 1/2x per day 1/x + 1/2x = 3/2x per day. ------------- At x=5: --> 3/10 per day. --------------- The long way for x - 5: 1/5 + 1/10 = 3/10 --> 10/3 days to paint the barn together ------------------ A shortcut for x = 5: product/sum 5*10/(5+10) = 50/15 = 10/3 days