document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207393>Question 207393</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Raffaele ran 8 miles and then walked 6 miles. If he ran 5 mph faster than he walked and the total time was 2 hours, then how fast did he walk?     </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156834 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=156834\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the 8 miles running:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Br%5D+=+r%5Br%5D+%2At%5Br%5D ALIGN=MIDDLE  ALT=\"d%5Br%5D+=+r%5Br%5D+%2At%5Br%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the 6 miles walking:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D ALIGN=MIDDLE  ALT=\"d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Br%5D+=+8 ALIGN=MIDDLE  ALT=\"d%5Br%5D+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bw%5D+=+6 ALIGN=MIDDLE  ALT=\"d%5Bw%5D+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Br%5D+%2B+t%5Bw%5D+=+2 ALIGN=MIDDLE  ALT=\"t%5Br%5D+%2B+t%5Bw%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Br%5D+=+r%5Bw%5D+%2B+5 ALIGN=MIDDLE  ALT=\"r%5Br%5D+=+r%5Bw%5D+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Br%5D+=+r%5Br%5D+%2At%5Br%5D ALIGN=MIDDLE  ALT=\"d%5Br%5D+=+r%5Br%5D+%2At%5Br%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+%28r%5Bw%5D+%2B+5%29+%2At%5Br%5D ALIGN=MIDDLE  ALT=\"8+=+%28r%5Bw%5D+%2B+5%29+%2At%5Br%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+%28r%5Bw%5D+%2B+5%29%282+-+t%5Bw%5D%29 ALIGN=MIDDLE  ALT=\"8+=+%28r%5Bw%5D+%2B+5%29%282+-+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=8+=+2r%5Bw%5D+%2B+10+-+r%5Bw%5D%2At%5Bw%5D+-+5t%5Bw%5D ALIGN=MIDDLE  ALT=\"8+=+2r%5Bw%5D+%2B+10+-+r%5Bw%5D%2At%5Bw%5D+-+5t%5Bw%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D ALIGN=MIDDLE  ALT=\"d%5Bw%5D+=+r%5Bw%5D%2At%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=6+=+r%5Bw%5D%2At%5Bw%5D ALIGN=MIDDLE  ALT=\"6+=+r%5Bw%5D%2At%5Bw%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+2r%5Bw%5D+%2B+10+-+6+-+5t%5Bw%5D ALIGN=MIDDLE  ALT=\"8+=+2r%5Bw%5D+%2B+10+-+6+-+5t%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=8+=+2r%5Bw%5D+%2B+4+-+5t%5Bw%5D ALIGN=MIDDLE  ALT=\"8+=+2r%5Bw%5D+%2B+4+-+5t%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=2r%5Bw%5D+=+4+%2B+5t%5Bw%5D ALIGN=MIDDLE  ALT=\"2r%5Bw%5D+=+4+%2B+5t%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=r%5Bw%5D+=+2+%2B+%285%2F2%29%2At%5Bw%5D ALIGN=MIDDLE  ALT=\"r%5Bw%5D+=+2+%2B+%285%2F2%29%2At%5Bw%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substituting:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+r%5Bw%5D%2At%5Bw%5D ALIGN=MIDDLE  ALT=\"6+=+r%5Bw%5D%2At%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=6+=+%282+%2B+%285%2F2%29%2At%5Bw%5D%29%2At%5Bw%5D ALIGN=MIDDLE  ALT=\"6+=+%282+%2B+%285%2F2%29%2At%5Bw%5D%29%2At%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=6+=+2t%5Bw%5D+%2B+%285%2F2%29%2A%28t%5Bw%5D%29%5E2 ALIGN=MIDDLE  ALT=\"6+=+2t%5Bw%5D+%2B+%285%2F2%29%2A%28t%5Bw%5D%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=12+=+4t%5Bw%5D+%2B+5%2A%28t%5Bw%5D%29%5E2 ALIGN=MIDDLE  ALT=\"12+=+4t%5Bw%5D+%2B+5%2A%28t%5Bw%5D%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=5%2A%28t%5Bw%5D%29%5E2+%2B+4t%5Bw%5D+-+12+=+0 ALIGN=MIDDLE  ALT=\"5%2A%28t%5Bw%5D%29%5E2+%2B+4t%5Bw%5D+-+12+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solve using quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bw%5D+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"t%5Bw%5D+=+%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+=+5 ALIGN=MIDDLE  ALT=\"a+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+4 ALIGN=MIDDLE  ALT=\"b+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-12 ALIGN=MIDDLE  ALT=\"c+=+-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bw%5D+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A5%2A%28-12%29+%29%29%2F%282%2A5%29+ ALIGN=MIDDLE  ALT=\"t%5Bw%5D+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A5%2A%28-12%29+%29%29%2F%282%2A5%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%5Bw%5D+=+%28-4+%2B-+sqrt%28+16+%2B+240+%29%29%2F10+ ALIGN=MIDDLE  ALT=\"t%5Bw%5D+=+%28-4+%2B-+sqrt%28+16+%2B+240+%29%29%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bw%5D+=+%28-4+%2B-+sqrt%28+256+%29%29%2F10+ ALIGN=MIDDLE  ALT=\"t%5Bw%5D+=+%28-4+%2B-+sqrt%28+256+%29%29%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bw%5D+=+%28-4+%2B-+16%29%2F10+ ALIGN=MIDDLE  ALT=\"t%5Bw%5D+=+%28-4+%2B-+16%29%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bw%5D+=+12%2F10 ALIGN=MIDDLE  ALT=\"t%5Bw%5D+=+12%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bw%5D+=+1.2 ALIGN=MIDDLE  ALT=\"t%5Bw%5D+=+1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Br%5D+=+2+-+1.2 ALIGN=MIDDLE  ALT=\"t%5Br%5D+=+2+-+1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Br%5D+=+.8 ALIGN=MIDDLE  ALT=\"t%5Br%5D+=+.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D ALIGN=MIDDLE  ALT=\"d%5Bw%5D+=+r%5Bw%5D%2At%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=6+=+r%5Bw%5D%2A1.2 ALIGN=MIDDLE  ALT=\"6+=+r%5Bw%5D%2A1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bw%5D+=+6%2F1.2 ALIGN=MIDDLE  ALT=\"r%5Bw%5D+=+6%2F1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bw%5D+=+5 ALIGN=MIDDLE  ALT=\"r%5Bw%5D+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "His rate walking was 5 mi/hr<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Br%5D+=+r%5Br%5D+%2At%5Br%5D ALIGN=MIDDLE  ALT=\"d%5Br%5D+=+r%5Br%5D+%2At%5Br%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+%28r%5Bw%5D+%2B+5%29+%2At%5Br%5D ALIGN=MIDDLE  ALT=\"8+=+%28r%5Bw%5D+%2B+5%29+%2At%5Br%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+%28r%5Bw%5D+%2B+5%29%282+-+t%5Bw%5D%29 ALIGN=MIDDLE  ALT=\"8+=+%28r%5Bw%5D+%2B+5%29%282+-+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=8+=+%285+%2B+5%29%282+-+1.2%29 ALIGN=MIDDLE  ALT=\"8+=+%285+%2B+5%29%282+-+1.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+10%2A.8 ALIGN=MIDDLE  ALT=\"8+=+10%2A.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+8 ALIGN=MIDDLE  ALT=\"8+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );