document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=585033>Question 585033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two rabbits start at a point P on a circular track and move in opposite directions. One travels at a speed of 11 ft/sec and the other at a speed of 8 ft/sec. If they start at the same time and stop when they meet again at point P, then the number of times they meet excluding the start and finish is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373037 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=373037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Say the distance around the track is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K ALIGN=MIDDLE  ALT=\"K\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "The time for the faster rabbit is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+K%2F11+ ALIGN=MIDDLE  ALT=\"+K%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "to go completely around.<BR>\n" );
document.write( "In this amount of time, the slower rabbit has gone<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2A%28K%2F11%29+=+%288%2F11%29%2AK+ ALIGN=MIDDLE  ALT=\"+8%2A%28K%2F11%29+=+%288%2F11%29%2AK+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "The slower rabbit has to go some whole multiple <BR>\n" );
document.write( "of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+K+ ALIGN=MIDDLE  ALT=\"+K+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in order to meet the faster rabbit<BR>\n" );
document.write( "at the starting point<BR>\n" );
document.write( "The 1st whole multiple of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K ALIGN=MIDDLE  ALT=\"K\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11%2A%288%2F11%29%2AK+ ALIGN=MIDDLE  ALT=\"+11%2A%288%2F11%29%2AK+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the number of times around<BR>\n" );
document.write( "for the slower rabbit<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Excluding the start and finish, they meet<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11+-+2+=+9+ ALIGN=MIDDLE  ALT=\"+11+-+2+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > times<BR>\n" );
document.write( "Hope I got it </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );