document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154708>Question 154708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Arthur can arrange a number of books in the bookshelf in x hours. Charlie can do the same job in y hours. If they work together,they will finish the same job in 6 hours. Arthur's rate is one-third of Charlie's. Find the number of hours each can do the job alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113924 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=113924\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> XY/(X+Y)=6<BR>\n" );
document.write( "Y=X/3<BR>\n" );
document.write( "(X*X/3)/(X+X/3)=6<BR>\n" );
document.write( "X^2/3=6(3X+X)/3<BR>\n" );
document.write( "X^2/3=2*4X<BR>\n" );
document.write( "X^2=3*8X<BR>\n" );
document.write( "X^2=24X<BR>\n" );
document.write( "X^2-24X=0<BR>\n" );
document.write( "X(X-24)=0<BR>\n" );
document.write( "X=24 HOURS FOR ARTHUR WORKING ALONE.<BR>\n" );
document.write( "24/3=8 HOURS FOR CHARLIE WORKING ALONE.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "24*8/(24+8)=6<BR>\n" );
document.write( "192/32=6<BR>\n" );
document.write( "6=6  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );