document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210893>Question 210893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tight end can run the 100 yard dash in 12 seconds.  A defensive back can do it in 10 seconds.  The tight end catches pass at his own 20 yard line with the defensive back at the 15 yard line.  If no other players are nearby, at what yard line will the defensive back catch up to the tight end? \r<BR>\n" );
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document.write( "The teacher told us the answer is the 45 yard line but we have to figure out how to get that and I can't figure it out.  Thank you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159323 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=159323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> for the tight end:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "for the defensive back:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bd%5D+=+r%5Bd%5D%2At%5Bd%5D ALIGN=MIDDLE  ALT=\"d%5Bd%5D+=+r%5Bd%5D%2At%5Bd%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bt%5D+=+100%2F12 ALIGN=MIDDLE  ALT=\"r%5Bt%5D+=+100%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > yds/sec<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bd%5D+=+100%2F10 ALIGN=MIDDLE  ALT=\"r%5Bd%5D+=+100%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > yds/sec<BR>\n" );
document.write( "The times are the same since they<BR>\n" );
document.write( "will run for the same amount of time<BR>\n" );
document.write( "Call both times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+=+d%5Bd%5D+-+5 ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+d%5Bd%5D+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > yds<BR>\n" );
document.write( "Rewrite equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bd%5D+-+5+=+%28100%2F12%29%2At ALIGN=MIDDLE  ALT=\"d%5Bd%5D+-+5+=+%28100%2F12%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bd%5D+=+%28100%2F10%29%2At ALIGN=MIDDLE  ALT=\"d%5Bd%5D+=+%28100%2F10%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By substitution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100%2F10%29%2At+-+5+=+%28100%2F12%29%2At ALIGN=MIDDLE  ALT=\"%28100%2F10%29%2At+-+5+=+%28100%2F12%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120 ALIGN=MIDDLE  ALT=\"120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200t+-+600+=+1000t ALIGN=MIDDLE  ALT=\"1200t+-+600+=+1000t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200t+=+600 ALIGN=MIDDLE  ALT=\"200t+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+3 ALIGN=MIDDLE  ALT=\"t+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+=+%28100%2F12%29%2A3 ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+%28100%2F12%29%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+=+25 ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > yds<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bd%5D+=+%28100%2F10%29%2A3 ALIGN=MIDDLE  ALT=\"d%5Bd%5D+=+%28100%2F10%29%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bd%5D+=+30 ALIGN=MIDDLE  ALT=\"d%5Bd%5D+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The tight end runs from his 20 yd line for 25 yds<BR>\n" );
document.write( "and gets to the 45 yd line in 3 sec<BR>\n" );
document.write( "The defensive back runs for his 15 yd line for<BR>\n" );
document.write( "30 yds and gets to the 45 yd line in 3 sec\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );