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
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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.....Thanks Found 2 solutions by stanbon, TakeATuition.com:Answer by stanbon(75887) (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.
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Melanie DATA:
Time = x days/job ; Rate = 1/x job/day
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Sam DATA:
Time = 2x days/job ; Rate = 1/2x job/day
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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
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If x = 5 you get
(3/10)th job in one day
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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
(
(