document.write( "Question 126772: Melanie can paint a certain barn by herself in xday. her helper Malissa 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. \n" ); document.write( "
Algebra.Com's Answer #92884 by stanbon(75887)\"\" \"About 
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Melanie can paint a certain barn by herself in xday. her helper Malissa 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.
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\n" ); document.write( "Melanie DATA;
\n" ); document.write( "Time = x days/job ; Rate = 1/x job/day
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\n" ); document.write( "Melissa DATA:
\n" ); document.write( "Time = 2x days/job ; Rate = 1/2x job/day
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\n" ); document.write( "Together data:
\n" ); document.write( "Time = k days/job ; Rate = 1/k job/day
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\n" ); document.write( "EQUATION:
\n" ); document.write( "rate + rate = togther rate
\n" ); document.write( "1/x + 1/2x = 1/k
\n" ); document.write( "3x/2x^2 = 1/k
\n" ); document.write( "k = 2x^2/3x = (2/3)x
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\n" ); document.write( "If x = 5 the two will require (2/3)5 = 10/3 = 3 1/3 days to do the job.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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