document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981472>Question 981472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> justin travels 160 miles away and then back home.  his average speed on the way there is 9 mph faster than on his way home. he spends a total of 8 hours driving.  find his two rates of speed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602481 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=602481\">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;\" > = his speed going back home in mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+9+ ALIGN=MIDDLE  ALT=\"+s+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = his speed going away from home 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;\" > = his time going back home in hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+-+t+ ALIGN=MIDDLE  ALT=\"+8+-+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = his time in hrs going away from home<BR>\n" );
document.write( "-----------------------------------------------<BR>\n" );
document.write( "Equation for going away from home:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+160+=+%28+s+%2B+9+%29%2A%28+8+-+t+%29+ ALIGN=MIDDLE  ALT=\"+160+=+%28+s+%2B+9+%29%2A%28+8+-+t+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for going back home:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+160+=+s%2At+ ALIGN=MIDDLE  ALT=\"+160+=+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=+160+=+8s+%2B+72+-+s%2At+-+9t+ ALIGN=MIDDLE  ALT=\"+160+=+8s+%2B+72+-+s%2At+-+9t+\"   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+=+160%2Ft+ ALIGN=MIDDLE  ALT=\"+s+=+160%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Substitute (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+160+=+8%2A%28+160%2Ft+%29+%2B+72+-+%28+160%2Ft+%29%2At+-+9t+ ALIGN=MIDDLE  ALT=\"+160+=+8%2A%28+160%2Ft+%29+%2B+72+-+%28+160%2Ft+%29%2At+-+9t+\"   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=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+160t+=+1280+%2B+72t+-+160t+%2B+9t%5E2+ ALIGN=MIDDLE  ALT=\"+160t+=+1280+%2B+72t+-+160t+%2B+9t%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9t%5E2+-+248t+%2B+1280+=+0+ ALIGN=MIDDLE  ALT=\"+9t%5E2+-+248t+%2B+1280+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic equation<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+=+9+ ALIGN=MIDDLE  ALT=\"+a+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-248+ ALIGN=MIDDLE  ALT=\"+b+=+-248+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+1280+ ALIGN=MIDDLE  ALT=\"+c+=+1280+\"   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+-%28-248%29+%2B-+sqrt%28+%28-248%29%5E2+-+4%2A9%2A1280+%29%29+%2F+%282%2A9%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-%28-248%29+%2B-+sqrt%28+%28-248%29%5E2+-+4%2A9%2A1280+%29%29+%2F+%282%2A9%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+248+%2B-+sqrt%28+61504+-+46080+%29%29+%2F+18+ ALIGN=MIDDLE  ALT=\"+t+=+%28+248+%2B-+sqrt%28+61504+-+46080+%29%29+%2F+18+\"   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+248+%2B-+sqrt%28+15424+%29%29+%2F+18+ ALIGN=MIDDLE  ALT=\"+t+=+%28+248+%2B-+sqrt%28+15424+%29%29+%2F+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can finish- find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "check my math -I'm not sure of calculations<BR>\n" );
document.write( "I think the method is OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );