document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=502402>Question 502402</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes van twice as long as it takes Jun to do a certain piece of work. Working together they can do the work in 6 days. How long would it take Jun to do it alone?\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #338840 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=338840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It takes van twice as long as it takes Jun to do a certain piece of work. Working together they can do the work in 6 days. How long would it take Jun to do it alone? <BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let J = time (days) it takes Jun to do it alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2J = time (days) it takes Van<BR>\n" );
document.write( ".<BR>\n" );
document.write( "6(1/J + 1/(2J)) = 1<BR>\n" );
document.write( "multiplying both sides by 2J:<BR>\n" );
document.write( "6(2 + 1) = 2J<BR>\n" );
document.write( "6(3) = 2J<BR>\n" );
document.write( "18 = 2J<BR>\n" );
document.write( "9 days = J (time it takes Jun)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Van:<BR>\n" );
document.write( "2J = 2(9) = 18 days<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );