document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=730910>Question 730910</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 3 men riding bicycles all starting at the same time.  They are on a 1/3 mile track.  One is traveling 4 mph, one is traveling 6 mph and one is traveling 8 mph.  How many minutes will it be until they are together at the starting point for the first time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446936 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=446936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 3 men riding bicycles all starting at the same time.<BR>\n" );
document.write( " They are on a 1/3 mile track.<BR>\n" );
document.write( " One is traveling 4 mph, one is traveling 6 mph and one is traveling<BR>\n" );
document.write( " 8 mph. How many minutes will it be until they are together at the<BR>\n" );
document.write( " starting point for the first time?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The first guy completes a lap in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.33%2F4 ALIGN=MIDDLE  ALT=\".33%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >* 3600 = 300 seconds<BR>\n" );
document.write( "The 2nd guy completes a lap in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.33%2F6 ALIGN=MIDDLE  ALT=\".33%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 3600 = 200 seconds<BR>\n" );
document.write( "The 3rd guy completes a lap in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.33%2F8 ALIGN=MIDDLE  ALT=\".33%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 3600 = 150 seconds<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Least common multiple of all three lap times:<BR>\n" );
document.write( "In 600 seconds which is 10 minutes, they should all be at the start<BR>\n" );
document.write( "Guy 1 completes 2 laps<BR>\n" );
document.write( "Guy 2 completes 3 laps<BR>\n" );
document.write( "guy 3 completes 4 laps </SPAN>\n" );
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