document.write( "Question 311386: Melanie can paint a 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. \n" ); document.write( "

Algebra.Com's Answer #222760 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of working to get their
\n" ); document.write( "rate working together
\n" ); document.write( "Melanie's rate:
\n" ); document.write( "(1 barn painted)/(x days)
\n" ); document.write( "Melissa's rate:
\n" ); document.write( "(1 barn painted)/(2x days)
\n" ); document.write( "---------------------
\n" ); document.write( "Let the fraction of the barn they paint working
\n" ); document.write( "together for 1 day = $\"y\"$
\n" ); document.write( "Their rate working together:
\n" ); document.write( "(y part of a barn painted)/(1 day)
\n" ); document.write( " $\"1%2Fx+%2B+1%2F%282x%29+=+y%2F1\"$
\n" ); document.write( " $\"1%2Fx+%2B+1%2F%282x%29\"$ is the fraction of the barn painted
\n" ); document.write( "working together
\n" ); document.write( " $\"x+=+5\"$
\n" ); document.write( " $\"1%2F5+%2B+1%2F10+=+3%2F10\"$
\n" ); document.write( "The paint 3/10 of the barn in 1 day \n" ); document.write( "

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