document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166738>Question 166738</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a pedestrian is three eights of the way across the a train bridge when he hears a train coming! If he runs as fast as possible back toward the train, he will get off just in in time to aviod a collision. Also, if he runs as fast as possible away from the train, he will get off the bridge (on the other side) just in time to aviod a collision.\r<BR>\n" );
document.write( "\n" );
document.write( "If the train is traveling at 60 miles per hour. How fast does the person run?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122969 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=122969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a pedestrian is three eights of the way across the a train bridge when he hears a train coming! If he runs as fast as possible back toward the train, he will get off just in in time to avoid a collision. Also, if he runs as fast as possible away from the train, he will get off the bridge (on the other side) just in time to avoid a collision.<BR>\n" );
document.write( "If the train is traveling at 60 miles per hour. How fast does the person run?<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Train----------d------------Br.....3x......P..........5x.........Br<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = dist train is from the bridge<BR>\n" );
document.write( "Let 8x = length of the bridge<BR>\n" );
document.write( "Pedestrian is 3x from one end and 5x from the other end of the bridge<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = running speed of p (mph)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Toward the train time equation (arrive at end of the bridge at the same time)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F60 ALIGN=MIDDLE  ALT=\"d%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%2Fs ALIGN=MIDDLE  ALT=\"%283x%29%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Away from the train time equation (arrive at other end at the same time)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28d%2B8x%29%29%2F60 ALIGN=MIDDLE  ALT=\"%28%28d%2B8x%29%29%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%29%2Fs ALIGN=MIDDLE  ALT=\"%285x%29%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "After much manipulation of these equations (too much, to record here) I came up with:<BR>\n" );
document.write( "d = 7.2<BR>\n" );
document.write( "8x = 4.8 mi<BR>\n" );
document.write( "P = 1.8 mi from one end and 3 mi from the other end<BR>\n" );
document.write( ":<BR>\n" );
document.write( "s = 15 mph running speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this using the \"away from the train\" situation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287.2%2B4.8%29%29%2F60 ALIGN=MIDDLE  ALT=\"%28%287.2%2B4.8%29%29%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F15 ALIGN=MIDDLE  ALT=\"3%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F60 ALIGN=MIDDLE  ALT=\"12%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F15 ALIGN=MIDDLE  ALT=\"3%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .2 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check using the \"toward the train\" situation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.2%2F60 ALIGN=MIDDLE  ALT=\"7.2%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.8%2F15 ALIGN=MIDDLE  ALT=\"1.8%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .12 hrs\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );