document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=399516>Question 399516</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A runner starts at the beginning of a runners’ path and runs at a <BR>\n" );
document.write( "constant rate of 5 mi/hr.  Six minutes later a second runner begins at the <BR>\n" );
document.write( "same point running at a rate of 7 mi/hr and following the same course.  <BR>\n" );
document.write( "How long will it take the second runner to reach the first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #282890 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=282890\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In 6 min, the 1st runner goes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A%281%2F10%29+=+.5 ALIGN=MIDDLE  ALT=\"5%2A%281%2F10%29+=+.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "(note that 6 min = 6/60 hr)<BR>\n" );
document.write( "Now the 2 runners will run for the same amount of time<BR>\n" );
document.write( "with a half-mile headstart for runner #1.<BR>\n" );
document.write( "2nd runner:<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;\" ><BR>\n" );
document.write( "1st runner:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+-+.5+=+5t ALIGN=MIDDLE  ALT=\"d+-+.5+=+5t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (1) in (2):<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7t+-+.5+=+5t ALIGN=MIDDLE  ALT=\"7t+-+.5+=+5t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t+=+.5 ALIGN=MIDDLE  ALT=\"2t+=+.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+.25 ALIGN=MIDDLE  ALT=\"t+=+.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "It will take the 2nd runner 15 min to catch the 1st<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+7%2A%281%2F4%29 ALIGN=MIDDLE  ALT=\"d+=+7%2A%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+1.75 ALIGN=MIDDLE  ALT=\"d+=+1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, also,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+-+.5+=+5%2A%281%2F4%29 ALIGN=MIDDLE  ALT=\"d+-+.5+=+5%2A%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+.5+%2B+1.25 ALIGN=MIDDLE  ALT=\"d+=+.5+%2B+1.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+1.75 ALIGN=MIDDLE  ALT=\"d+=+1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );