document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=345476>Question 345476</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and B run at constant velocities along a circular track. The circumference of the track is 1320 meters. If they run in opposite directions, they meet every 2 minutes; if they run in the same direction, they are together every 22 minutes. Find their velocities. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247247 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=247247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A and B run at constant velocities along a circular track.<BR>\n" );
document.write( " The circumference of the track is 1320 meters.<BR>\n" );
document.write( " If they run in opposite directions, they meet every 2 minutes;<BR>\n" );
document.write( " if they run in the same direction, they are together every 22 minutes.<BR>\n" );
document.write( " Find their velocities.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the sum of their velocities, <BR>\n" );
document.write( "when they meet, they will have traveled a total of 1320 meters in two minutes<BR>\n" );
document.write( "Speed = dist/time<BR>\n" );
document.write( "(V1 + V2) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1320%2F2 ALIGN=MIDDLE  ALT=\"1320%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V1 + V2 = 660 m/min<BR>\n" );
document.write( ":<BR>\n" );
document.write( "When they travel the same directions <BR>\n" );
document.write( "V1 - V2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1320%2F22 ALIGN=MIDDLE  ALT=\"1320%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V1 - V2 = 60 m/min<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use elimination<BR>\n" );
document.write( "V1 + V2 = 660<BR>\n" );
document.write( "V1 - V2 = 60<BR>\n" );
document.write( "-----------------addition eliminates V2<BR>\n" );
document.write( "2V1 = 720<BR>\n" );
document.write( "V1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=720%2F2 ALIGN=MIDDLE  ALT=\"720%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V1 = 360 m/sec<BR>\n" );
document.write( "and<BR>\n" );
document.write( "V2 = 660 - 360<BR>\n" );
document.write( "V2 = 300 m/sec<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can confirm this using the same direction scenario<BR>\n" );
document.write( "Faster runner travels 22 * 360 = 7920 meters<BR>\n" );
document.write( "Slower runner travels 22 * 300 = 6600 meters<BR>\n" );
document.write( "----------------------------------------------<BR>\n" );
document.write( "difference is exactly 1 lap  or  1320 meters </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );