document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288764>Question 288764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Melanie can paint a certain 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. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209257 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=209257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y/x+y/2x=1<BR>\n" );
document.write( "2y+y=2x<BR>\n" );
document.write( "3y=2x<BR>\n" );
document.write( "y=2x/3<BR>\n" );
document.write( "It will take them 2x/3 days together<BR>\n" );
document.write( "so in one day they will complete 1/2x/3 or 3/(2x) of the job<BR>\n" );
document.write( "y/5+y/10=1<BR>\n" );
document.write( "2y+y=10<BR>\n" );
document.write( "3y=10<BR>\n" );
document.write( "y=10/3<BR>\n" );
document.write( "in one day they will complete 1/10/3=1*3/10=3/10 of the job in one day<BR>\n" );
document.write( "check<BR>\n" );
document.write( "2x/3=10/3<BR>\n" );
document.write( "2x=10<BR>\n" );
document.write( "x=5<BR>\n" );
document.write( "ok<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );