document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056739>Question 1056739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Floyd can walk 2mph faster than his wife, Rachel. It takes Rachel 3 hr longer than Floyd to hike a 12-mile trail through the park. Find their speeds. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #671806 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=671806\">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=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Rachel's speed in mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+2+ ALIGN=MIDDLE  ALT=\"+s+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Floyd's speed in mi/hr<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Floyd's time in hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+3+ ALIGN=MIDDLE  ALT=\"+t+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Rachel's time in mi/hr<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "Floyd's equation:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+%28+s+%2B+2+%29%2At+ ALIGN=MIDDLE  ALT=\"+12+=+%28+s+%2B+2+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rachel's equation:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+s%2A%28+t+%2B+3+%29+ ALIGN=MIDDLE  ALT=\"+12+=+s%2A%28+t+%2B+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+12%2F%28+s+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+t+=+12%2F%28+s+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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=+12+=+s%2At+%2B+3s+ ALIGN=MIDDLE  ALT=\"+12+=+s%2At+%2B+3s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+s%2A%28+12%2F%28+s+%2B+2+%29+%29+%2B+3s+ ALIGN=MIDDLE  ALT=\"+12+=+s%2A%28+12%2F%28+s+%2B+2+%29+%29+%2B+3s+\"   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=+s+%2B+2+ ALIGN=MIDDLE  ALT=\"+s+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12%2A%28+s+%2B+2+%29+=+12s+%2B+3s%2A%28+s+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+12%2A%28+s+%2B+2+%29+=+12s+%2B+3s%2A%28+s+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12s+%2B+24+=+12s+%2B+3s%5E2+%2B+6s+ ALIGN=MIDDLE  ALT=\"+12s+%2B+24+=+12s+%2B+3s%5E2+%2B+6s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3s%5E2+%2B+6s+-+24+=+0+ ALIGN=MIDDLE  ALT=\"+3s%5E2+%2B+6s+-+24+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+%2B+2s+-+8+=+0+ ALIGN=MIDDLE  ALT=\"+s%5E2+%2B+2s+-+8+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+s+%2B+4+%29%2A%28+s+-+2+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+s+%2B+4+%29%2A%28+s+-+2+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+2+ ALIGN=MIDDLE  ALT=\"+s+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( I can't use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+-4+ ALIGN=MIDDLE  ALT=\"+s+=+-4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since it's negative )<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+2+=+4+ ALIGN=MIDDLE  ALT=\"+s+%2B+2+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Rachel's speed is 2 mi/hr<BR>\n" );
document.write( "Floyd's speed is 4 mi/hr<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+%28+s+%2B+2+%29%2At+ ALIGN=MIDDLE  ALT=\"+12+=+%28+s+%2B+2+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+4t+ ALIGN=MIDDLE  ALT=\"+12+=+4t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <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;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+s%2A%28+t+%2B+3+%29+ ALIGN=MIDDLE  ALT=\"+12+=+s%2A%28+t+%2B+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+2%2A%28+t+%2B+3+%29+ ALIGN=MIDDLE  ALT=\"+12+=+2%2A%28+t+%2B+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+t+%2B+3+ ALIGN=MIDDLE  ALT=\"+6+=+t+%2B+3+\"   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+=+3+ ALIGN=MIDDLE  ALT=\"+t+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );