document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=631628>Question 631628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person drives 390 miles on a stretch<BR>\n" );
document.write( "of road. Half the distance is driven traveling 5<BR>\n" );
document.write( "miles per hour below the speed limit, and half the<BR>\n" );
document.write( "distance is driven traveling 5 miles per hour above<BR>\n" );
document.write( "the speed limit. If the time spent traveling at the slower<BR>\n" );
document.write( "speed exceeds the time spent traveling at the faster<BR>\n" );
document.write( "speed by 24 minutes, find the speed limit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397720 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=397720\">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;\" > = the speed limit<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+-+5+ ALIGN=MIDDLE  ALT=\"+s+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5 mi/hr below speed limit<BR>\n" );
document.write( "<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;\" > = 5 mi/hr above the speed limit<BR>\n" );
document.write( "---------<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;\" > = time spent driving at <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;\" > mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+24%2F60+ ALIGN=MIDDLE  ALT=\"+t+%2B+24%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time spent driving at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+-+5+ ALIGN=MIDDLE  ALT=\"+s+-+5+\"   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=+390%2F2+=+%28+s+%2B+5+%29%2At+ ALIGN=MIDDLE  ALT=\"+390%2F2+=+%28+s+%2B+5+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+390%2F2+=+%28+s+-+5+%29%2A%28+t+%2B+24%2F60+%29+ ALIGN=MIDDLE  ALT=\"+390%2F2+=+%28+s+-+5+%29%2A%28+t+%2B+24%2F60+%29+\"   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=+195+=+s%2At+%2B+5t+ ALIGN=MIDDLE  ALT=\"+195+=+s%2At+%2B+5t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+195+=+%28+s+-+5+%29%2A%28+t+%2B+2%2F5+%29+ ALIGN=MIDDLE  ALT=\"+195+=+%28+s+-+5+%29%2A%28+t+%2B+2%2F5+%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=+195+=+s%2At+-+5t+%2B+%282%2F5%29%2As+-+2+ ALIGN=MIDDLE  ALT=\"+195+=+s%2At+-+5t+%2B+%282%2F5%29%2As+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%2At+=+195+-+5t+ ALIGN=MIDDLE  ALT=\"+s%2At+=+195+-+5t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+195%2Ft+-+5+ ALIGN=MIDDLE  ALT=\"+s+=+195%2Ft+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+195+=+%28+195%2Ft+-+5+%29%2At+-+5t+%2B+%282%2F5%29%2A%28+195%2Ft+-+5+%29+-+2+ ALIGN=MIDDLE  ALT=\"+195+=+%28+195%2Ft+-+5+%29%2At+-+5t+%2B+%282%2F5%29%2A%28+195%2Ft+-+5+%29+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+195+=+195+-+5t+-+5t+%2B+78%2Ft+-+2+-+2+ ALIGN=MIDDLE  ALT=\"+195+=+195+-+5t+-+5t+%2B+78%2Ft+-+2+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-10t+%2B+78%2Ft+-+4+ ALIGN=MIDDLE  ALT=\"+0+=+-10t+%2B+78%2Ft+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10t+=+78%2Ft+-+4+ ALIGN=MIDDLE  ALT=\"+10t+=+78%2Ft+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10t%5E2+=+78+-+4t+ ALIGN=MIDDLE  ALT=\"+10t%5E2+=+78+-+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=+10t%5E2+%2B+4t+-+78+=+0+ ALIGN=MIDDLE  ALT=\"+10t%5E2+%2B+4t+-+78+=+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=+5t%5E2+%2B+2t+-+39+=+0+ ALIGN=MIDDLE  ALT=\"+5t%5E2+%2B+2t+-+39+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula<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+%7D%7D+%0D%0A%7B%7B%7B+a+=+5+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+2+ ALIGN=MIDDLE  ALT=\"+b+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-39+ ALIGN=MIDDLE  ALT=\"+c+=+-39+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-2+%2B-+sqrt%28+2%5E2+-+4%2A5%2A%28-39%29+%29%29+%2F+%282%2A5%29+%7D%7D+%0D%0A%7B%7B%7B+t+=+%28-2+%2B-+sqrt%28+4+%2B+780+%29%29+%2F+10+%7D%7D+%0D%0A%7B%7B%7B+t+=+%28-2+%2B-+sqrt%28+784+%29%29+%2F+10+%7D%7D+%0D%0A%7B%7B%7B+t+=+%28-2+%2B+28+%29+%2F+10+%7D%7D++%28+ignore+the+negative+root+%29%0D%0A%7B%7B%7B+t+=+26%2F10+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+13%2F5+ ALIGN=MIDDLE  ALT=\"+t+=+13%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+195+=+%28+s+%2B+5+%29%2At+ ALIGN=MIDDLE  ALT=\"+195+=+%28+s+%2B+5+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+195+=+%28++s+%2B+5+%29%2A%2813%2F5%29+ ALIGN=MIDDLE  ALT=\"+195+=+%28++s+%2B+5+%29%2A%2813%2F5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+195+=+%2813%2F5%29%2As+%2B+13+ ALIGN=MIDDLE  ALT=\"+195+=+%2813%2F5%29%2As+%2B+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2813%2F5%29%2As+=+195+-+13+ ALIGN=MIDDLE  ALT=\"+%2813%2F5%29%2As+=+195+-+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%285%2F13%29%2A182+ ALIGN=MIDDLE  ALT=\"+s+=+%285%2F13%29%2A182+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+70+ ALIGN=MIDDLE  ALT=\"+s+=+70+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The speed limit is 70 mi/hr </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );