document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82909>Question 82909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary left home at 12 noon and drove to visit her mom who lives 20 miles away. After she arrived she stayed for 2 hours.  Afterwards, she drove to her friend Sue's house who lives 15 miles from her mom.  She arrived at Sue's at 3:00pm.  If her speed heading for Sue's was 5 mph faster than her speed going to her mom's, find her average speed on the way to Sue's </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59509 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=59509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The time spent driving plus the 2 hours at her mom's adds up to the<BR>\n" );
document.write( "elapsed time of 3 hours (noon to 3 PM).<BR>\n" );
document.write( "If s is the average speed to her mom's, then s+5 is the average speed<BR>\n" );
document.write( "from her mom's to Sue's<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fs+%2B+2+%2B+15%2F%28s%2B5%29+=+3 ALIGN=MIDDLE  ALT=\"20%2Fs+%2B+2+%2B+15%2F%28s%2B5%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+%2B+2+%2B+t%5B2%5D+=+3 ALIGN=MIDDLE  ALT=\"t%5B1%5D+%2B+2+%2B+t%5B2%5D+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fs+%2B+15%2F%28s%2B5%29+=+1 ALIGN=MIDDLE  ALT=\"20%2Fs+%2B+15%2F%28s%2B5%29+=+1\"   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%28s%2B5%29 ALIGN=MIDDLE  ALT=\"s%28s%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%28s%2B5%29+%2B+15s+=+s%28s%2B5%29 ALIGN=MIDDLE  ALT=\"20%28s%2B5%29+%2B+15s+=+s%28s%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20s+%2B+100+%2B+15s+=+S%5E2+%2B+5s ALIGN=MIDDLE  ALT=\"20s+%2B+100+%2B+15s+=+S%5E2+%2B+5s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2+-+30s+-+100+=+0 ALIGN=MIDDLE  ALT=\"s%5E2+-+30s+-+100+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"s+=+%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+=+1 ALIGN=MIDDLE  ALT=\"a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-30 ALIGN=MIDDLE  ALT=\"b+=+-30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-100 ALIGN=MIDDLE  ALT=\"c+=+-100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28-%28-30%29+%2B-+sqrt%28+%28-30%29%5E2-4%2A1%2A%28-100%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"s+=+%28-%28-30%29+%2B-+sqrt%28+%28-30%29%5E2-4%2A1%2A%28-100%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%2830+%2B-+sqrt%28900+%2B+400+%29%29%2F+2+ ALIGN=MIDDLE  ALT=\"s+=+%2830+%2B-+sqrt%28900+%2B+400+%29%29%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%2830+%2B-+sqrt%281300+%29%29%2F+2+ ALIGN=MIDDLE  ALT=\"s+=+%2830+%2B-+sqrt%281300+%29%29%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%2830+%2B-+10%2Asqrt%2813+%29%29%2F+2+ ALIGN=MIDDLE  ALT=\"s+=+%2830+%2B-+10%2Asqrt%2813+%29%29%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+15+%2B-+5%2Asqrt%2813%29 ALIGN=MIDDLE  ALT=\"s+=+15+%2B-+5%2Asqrt%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+15+%2B+5%2A3.6055 ALIGN=MIDDLE  ALT=\"s+=+15+%2B+5%2A3.6055\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+15+%2B+18.0278 ALIGN=MIDDLE  ALT=\"s+=+15+%2B+18.0278\"   DISABLED_style= \"max-width:90%; height:auto;\" > (note that the other answer is negative and<BR>\n" );
document.write( "therefore makes no sense)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+33.028 ALIGN=MIDDLE  ALT=\"s+=+33.028\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But the average speed going to Sue's is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+%2B+5 ALIGN=MIDDLE  ALT=\"s+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+%2B+5+=+33.028+%2B+5 ALIGN=MIDDLE  ALT=\"s+%2B+5+=+33.028+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+%2B+5+=+38.028 ALIGN=MIDDLE  ALT=\"s+%2B+5+=+38.028\"   DISABLED_style= \"max-width:90%; height:auto;\" > mph answer<BR>\n" );
document.write( "check answer<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fs+%2B+2+%2B+15%2F%28s%2B5%29+=+3 ALIGN=MIDDLE  ALT=\"20%2Fs+%2B+2+%2B+15%2F%28s%2B5%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Is this true when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+33.028 ALIGN=MIDDLE  ALT=\"s+=+33.028\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F33.028+%2B+2+%2B+15%2F38.028+=+3 ALIGN=MIDDLE  ALT=\"20%2F33.028+%2B+2+%2B+15%2F38.028+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.6056+%2B+2+%2B+.3944+=+3 ALIGN=MIDDLE  ALT=\".6056+%2B+2+%2B+.3944+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2B+2+=+3 ALIGN=MIDDLE  ALT=\"1+%2B+2+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );