document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347673>Question 347673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 90.  Barn Painting.  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 #248536 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=248536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Barn Painting. 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.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Melanie DATA:<BR>\n" );
document.write( "time = x day/job ; rate = 1/x job/day<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Melissa DATA:<BR>\n" );
document.write( "time = 2x days/job ; rate = 1/2x job/day<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Together data:<BR>\n" );
document.write( "time = t days/job ; rate = 1/t job/day<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(2x) = 1/t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for \"t\":<BR>\n" );
document.write( "(2x+x)/(2x^2) = 1/t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "t = (2x^2)/(3x)<BR>\n" );
document.write( "t = (2/3)x<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "t(5) = (2/3)5 = 3 1/3<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );