document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=729155>Question 729155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cyclists competed in a 5 mile bicycle race. The more experienced cyclist gave the novice cyclist a head start of .6 mile and still won the race by 2 minutes. If the experienced cyclist's average speed was 3 mph faster than the novice's average speed, what was the novice's average speed?\r<BR>\n" );
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document.write( "Can you please show the work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #445774 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=445774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start a stop watch when the experienced cyclist leaves.<BR>\n" );
document.write( "Stop it when that cyclist finishes<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;\" > = experienced cyclist's time to finish<BR>\n" );
document.write( "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;\" > = experienced cyclists average speed<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Novice cyclist's equation:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+-+.6+=+%28+s+-+3+%29%2A%28+t+%2B+2%2F60+%29+ ALIGN=MIDDLE  ALT=\"+5+-+.6+=+%28+s+-+3+%29%2A%28+t+%2B+2%2F60+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( 2 min is converted to hours )<BR>\n" );
document.write( "Experienced cyclist's equation:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+s%2At+ ALIGN=MIDDLE  ALT=\"+5+=+s%2At+\"   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=+4.4+=+s%2At+-+3t+%2B+%281%2F30%29%2As+-+1%2F10+ ALIGN=MIDDLE  ALT=\"+4.4+=+s%2At+-+3t+%2B+%281%2F30%29%2As+-+1%2F10+\"   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=+s+=+5%2Ft+ ALIGN=MIDDLE  ALT=\"+s+=+5%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4.4+=+5+-+3t+%2B+1%2F%286t%29+-+1%2F10+ ALIGN=MIDDLE  ALT=\"+4.4+=+5+-+3t+%2B+1%2F%286t%29+-+1%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+26.4t+=+30t+-+18t%5E2+%2B+1+-+%283%2F5%29%2At+ ALIGN=MIDDLE  ALT=\"+26.4t+=+30t+-+18t%5E2+%2B+1+-+%283%2F5%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=+18t%5E2+-+3.6t+%2B+.6t+-+1+=+0+ ALIGN=MIDDLE  ALT=\"+18t%5E2+-+3.6t+%2B+.6t+-+1+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18t%5E2+-+3t+-+1+=+0+ ALIGN=MIDDLE  ALT=\"+18t%5E2+-+3t+-+1+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+18+ ALIGN=MIDDLE  ALT=\"+a+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-3+ ALIGN=MIDDLE  ALT=\"+b+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-1+ ALIGN=MIDDLE  ALT=\"+c+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2+-+4%2A18%2A%28-1%29+%29%29%2F%282%2A18%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2+-+4%2A18%2A%28-1%29+%29%29%2F%282%2A18%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+3+%2B-+sqrt%28+9+%2B+72+%29%29%2F+36+ ALIGN=MIDDLE  ALT=\"+t+=+%28+3+%2B-+sqrt%28+9+%2B+72+%29%29%2F+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+3+%2B-+sqrt%28+81+%29%29%2F+36+ ALIGN=MIDDLE  ALT=\"+t+=+%28+3+%2B-+sqrt%28+81+%29%29%2F+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+3+%2B+9+%29+%2F+36+ ALIGN=MIDDLE  ALT=\"+t+=+%28+3+%2B+9+%29+%2F+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+12%2F36+ ALIGN=MIDDLE  ALT=\"+t+=+12%2F36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+t+=+1%2F3+\"   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=+5+=+s%2At+ ALIGN=MIDDLE  ALT=\"+5+=+s%2At+\"   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+=+5%2F%281%2F3%29+ ALIGN=MIDDLE  ALT=\"+s+=+5%2F%281%2F3%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=+s+=+15+ ALIGN=MIDDLE  ALT=\"+s+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+-+3+=+12+ ALIGN=MIDDLE  ALT=\"+s+-+3+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The novice's speed is 12 mi/hr<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+-+.6+=+%28+s+-+3+%29%2A%28+t+%2B+2%2F60+%29+ ALIGN=MIDDLE  ALT=\"+5+-+.6+=+%28+s+-+3+%29%2A%28+t+%2B+2%2F60+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+-+.6+=+%28+15+-+3+%29%2A%28+1%2F3+%2B+1%2F30+%29+ ALIGN=MIDDLE  ALT=\"+5+-+.6+=+%28+15+-+3+%29%2A%28+1%2F3+%2B+1%2F30+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4.4+=+12%2A%28+11%2F30+%29+ ALIGN=MIDDLE  ALT=\"+4.4+=+12%2A%28+11%2F30+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4.4+=+132%2F30+ ALIGN=MIDDLE  ALT=\"+4.4+=+132%2F30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+132+=+132+ ALIGN=MIDDLE  ALT=\"+132+=+132+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );