document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=354084>Question 354084</A>: <I><SPAN STYLE=\"word-break: break-all;\"> onjon can do the job in 8 hours. His brother Paul can do the same job in 20 hours. The brothers can do the job together with Paul working one and a half times as long as Jonjon. How long will each other work to do the job together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #253126 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=253126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jonjon can do the job in 8 hours. His brother Paul can do the same job in 20 hours. The brothers can do the job together with Paul working one and a half times as long as Jonjon. How long will each other work to do the job together?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let x = time Jonjon works<BR>\n" );
document.write( "then<BR>\n" );
document.write( "1.5x = time Paul works<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x(1/8) + 1.5x(1/20) = 1<BR>\n" );
document.write( "Multiply both sides by 40:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x(5) + 1.5x(2) = 40<BR>\n" );
document.write( "5x + 3x = 40<BR>\n" );
document.write( "8x = 40<BR>\n" );
document.write( "x = 5 hours (time Jonjon works)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Paul:<BR>\n" );
document.write( "1.5x = 1.5(5) = 7.5 hours </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );