# SOLUTION: Melanie can paint a barn by herself in x days. Her helper Sam can paint the same barn my himself in 2x days. Write a rational expression for the fractions of the barn that they com

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: Melanie can paint a barn by herself in x days. Her helper Sam can paint the same barn my himself in 2x days. Write a rational expression for the fractions of the barn that they com      Log On

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 Question 131645: Melanie can paint a barn by herself in x days. Her helper Sam can paint the same barn my himself in 2x days. Write a rational expression for the fractions of the barn that they complete in one day by working together. Evaluate the expression for x=5. Please help I don't understand.....ThanksFound 2 solutions by stanbon, TakeATuition.com:Answer by stanbon(57984)   (Show Source): You can put this solution on YOUR website!Melanie can paint a barn by herself in x days. Her helper Sam can paint the same barn my himself in 2x days. Write a rational expression for the fractions of the barn that they complete in one day by working together. Evaluate the expression for x=5. ----------------------- Melanie DATA: Time = x days/job ; Rate = 1/x job/day -------------- Sam DATA: Time = 2x days/job ; Rate = 1/2x job/day ------------------------ EQUATION: day rate + day rate = part of job done in one day (1/x) + (1/2x) = 3x/2x^2 = 3/(2x) job in one day ----------------- If x = 5 you get (3/10)th job in one day ========================= Answer by TakeATuition.com(57)   (Show Source): You can put this solution on YOUR website!SOLUTION - Melanie paint a barn in x days then i day work of Melanie = helper paint a barn in 2x days then i day work of helper = one day work of Melanie + one day work of helper = now x = 5 substituting the value of x FOR MORE HELP PLSS VISIT :www.TakeATuition.com