document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628299>Question 628299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Frank and Page are on opposing football teams. Frank gets the ball at his team's 20 yard line and runs for a touchdown. When Frank reaches his own 40 yd line, Page runs after him from Frank's 20 yard line. Frank runs 7 yd/second, and Page runs 8 yd/second. Will Page catch up before he secures the touchdown? If so, on which yard? \r<BR>\n" );
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document.write( "~Thanks in advance~ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395541 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=395541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance in yds that Frank runs<BR>\n" );
document.write( "until he gets caught by Page<BR>\n" );
document.write( "Frank's equation is<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+7t+ ALIGN=MIDDLE  ALT=\"+d+=+7t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in yds and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in sec<BR>\n" );
document.write( "Page's equation:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+%2B+20+=+8t+ ALIGN=MIDDLE  ALT=\"+d+%2B+20+=+8t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that Page has to run 20 yds further and time<BR>\n" );
document.write( "spent running is the same for both<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7t+%2B+20+=+8t+ ALIGN=MIDDLE  ALT=\"+7t+%2B+20+=+8t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+20+ ALIGN=MIDDLE  ALT=\"+t+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Now plug this back into (1) or (2)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+7%2A20+ ALIGN=MIDDLE  ALT=\"+d+=+7%2A20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+140+ ALIGN=MIDDLE  ALT=\"+d+=+140+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "What this says is that Frank won't get caught until<BR>\n" );
document.write( "he has run 140 yds. But he only needs to run 60<BR>\n" );
document.write( "yds to get a TD. So Page can't stop him from scoring.\r<BR>\n" );
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