document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=528170>Question 528170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man rode a bicycle for 12 miles and then hiked and additional 8 miles. The total time for the trip was 5 hours. If his rate when riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349174 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=349174\">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=+w+ ALIGN=MIDDLE  ALT=\"+w+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = rate walking<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = rate biking<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+w+%2B+10+ ALIGN=MIDDLE  ALT=\"+b+=+w+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bw%5D+%2B+t%5Bb%5D+=5+ ALIGN=MIDDLE  ALT=\"+t%5Bw%5D+%2B+t%5Bb%5D+=5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "biking:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+%28+w+%2B+10+%29%2At%5Bb%5D+ ALIGN=MIDDLE  ALT=\"+12+=+%28+w+%2B+10+%29%2At%5Bb%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "walking:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+=+w%2At%5Bw%5D+ ALIGN=MIDDLE  ALT=\"+8+=+w%2At%5Bw%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "By substitution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bb%5D+=+5+-+t%5Bw%5D+ ALIGN=MIDDLE  ALT=\"+t%5Bb%5D+=+5+-+t%5Bw%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+%28+w+%2B+10+%29%2A%28+5+-+t%5Bw%5D+%29+ ALIGN=MIDDLE  ALT=\"+12+=+%28+w+%2B+10+%29%2A%28+5+-+t%5Bw%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+5w+%2B+50+-+w%2At%5Bw%5D+-+10t%5Bw%5D+ ALIGN=MIDDLE  ALT=\"+12+=+5w+%2B+50+-+w%2At%5Bw%5D+-+10t%5Bw%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By substitution again:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+5w+%2B+50+-+8+-+10t%5Bw%5D+ ALIGN=MIDDLE  ALT=\"+12+=+5w+%2B+50+-+8+-+10t%5Bw%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitution again:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+5w+%2B+50+-+8+-+10%2A%288%2Fw%29+ ALIGN=MIDDLE  ALT=\"+12+=+5w+%2B+50+-+8+-+10%2A%288%2Fw%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80%2Fw+-+5w+=+30+ ALIGN=MIDDLE  ALT=\"+80%2Fw+-+5w+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+-+5w%5E2++=+30w+ ALIGN=MIDDLE  ALT=\"+80+-+5w%5E2++=+30w+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w%5E2+%2B+6w+=+16+ ALIGN=MIDDLE  ALT=\"+w%5E2+%2B+6w+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Completing the square:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w%5E2+%2B+6w+%2B+%286%2F2%29%5E2+=+16+%2B+%286%2F2%29%5E2+ ALIGN=MIDDLE  ALT=\"+w%5E2+%2B+6w+%2B+%286%2F2%29%5E2+=+16+%2B+%286%2F2%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w%5E2+%2B+6w+%2B+9+=+16+%2B+9+ ALIGN=MIDDLE  ALT=\"+w%5E2+%2B+6w+%2B+9+=+16+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+w+%2B+3+%29%5E2+=+25+ ALIGN=MIDDLE  ALT=\"+%28+w+%2B+3+%29%5E2+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w+%2B+3+=+5+ ALIGN=MIDDLE  ALT=\"+w+%2B+3+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w+=+2+ ALIGN=MIDDLE  ALT=\"+w+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( can't use the negative root )<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+w+%2B+10+ ALIGN=MIDDLE  ALT=\"+b+=+w+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+12+ ALIGN=MIDDLE  ALT=\"+b+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "His speed biking was 12 mi/hr<BR>\n" );
document.write( "His speed walking was 2 mi/hr </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );