document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049953>Question 1049953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> meslissa walks 3 miles to the house of a friend an returns home on a bike she averages 4 miles per hour faster when cycling than walking and the total time for both trips is two hours find her walking speed  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #665559 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=665559\">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;\" > = her speed walking<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+4+ ALIGN=MIDDLE  ALT=\"+s+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = her speed biking<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;\" > = her time walking<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+-+t+ ALIGN=MIDDLE  ALT=\"+2+-+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = her time biking<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Melissa walking:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+=+s%2At+ ALIGN=MIDDLE  ALT=\"+3+=+s%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Melissa biking:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+=+%28+s%2B4+%29%2A%28+2-t+%29+ ALIGN=MIDDLE  ALT=\"+3+=+%28+s%2B4+%29%2A%28+2-t+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+=+2s+%2B+8+-+s%2At+-+4t+ ALIGN=MIDDLE  ALT=\"+3+=+2s+%2B+8+-+s%2At+-+4t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+=+2s+%2B+8+-+t%2A%28+s+%2B+4+%29+ ALIGN=MIDDLE  ALT=\"+3+=+2s+%2B+8+-+t%2A%28+s+%2B+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+3%2Fs+ ALIGN=MIDDLE  ALT=\"+t+=+3%2Fs+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By substitution:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+=+2s+%2B+8+-+%283%2Fs%29%2A%28+s+%2B+4+%29+ ALIGN=MIDDLE  ALT=\"+3+=+2s+%2B+8+-+%283%2Fs%29%2A%28+s+%2B+4+%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=+2s+=+%283%2Fs%29%2A%28+s%2B4+%29+-+5+ ALIGN=MIDDLE  ALT=\"+2s+=+%283%2Fs%29%2A%28+s%2B4+%29+-+5+\"   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+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2s%5E2+=+3%2A%28+s%2B4+%29+-+5s+ ALIGN=MIDDLE  ALT=\"+2s%5E2+=+3%2A%28+s%2B4+%29+-+5s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2s%5E2+=+3s+%2B+12+-+5s+ ALIGN=MIDDLE  ALT=\"+2s%5E2+=+3s+%2B+12+-+5s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2s%5E2+%2B+2s+-+12+=+0+ ALIGN=MIDDLE  ALT=\"+2s%5E2+%2B+2s+-+12+=+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+s+-+6+=+0+ ALIGN=MIDDLE  ALT=\"+s%5E2+%2B+s+-+6+=+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+-+2+%29%2A%28+s+%2B+3+%29+ ALIGN=MIDDLE  ALT=\"+%28+s+-+2+%29%2A%28+s+%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=+s+=+2+ ALIGN=MIDDLE  ALT=\"+s+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( speed has to be positive )<BR>\n" );
document.write( "Her walking speed is 2 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=+t+=+3%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+3%2F2+\"   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=+3+=+%28+s%2B4+%29%2A%28+2-t+%29+ ALIGN=MIDDLE  ALT=\"+3+=+%28+s%2B4+%29%2A%28+2-t+%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=+3+=+%28+2%2B4+%29%2A%28+2-t+%29+ ALIGN=MIDDLE  ALT=\"+3+=+%28+2%2B4+%29%2A%28+2-t+%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=+3+=+6%2A%28+2-t+%29+ ALIGN=MIDDLE  ALT=\"+3+=+6%2A%28+2-t+%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=+1+=+2%2A%28+2-t+%29+ ALIGN=MIDDLE  ALT=\"+1+=+2%2A%28+2-t+%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=+1+=+4+-+2t+ ALIGN=MIDDLE  ALT=\"+1+=+4+-+2t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2t+=+3+ ALIGN=MIDDLE  ALT=\"+2t+=+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%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+3%2F2+\"   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" );