document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=685815>Question 685815</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jane's work commute is 6 miles. When the roads are icy, she travels 20mph slower and takes 9 minutes (or 3/20 hours) longer to get to work. How long does it take her to get to work when the roads are icy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424595 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=424595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need 2 equations, one for regular commute<BR>\n" );
document.write( "and one for icy roads<BR>\n" );
document.write( "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 regular speed 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;\" > = her regular time in hrs<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "For regular commute:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+s%2At+ ALIGN=MIDDLE  ALT=\"+6+=+s%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For icy roads:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+%28+s+-+20+%29%2A%28+t+%2B+3%2F20+%29+ ALIGN=MIDDLE  ALT=\"+6+=+%28+s+-+20+%29%2A%28+t+%2B+3%2F20+%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=+6+=+s%2At+-+20t+%2B+%283%2F20%29%2As+-+3+ ALIGN=MIDDLE  ALT=\"+6+=+s%2At+-+20t+%2B+%283%2F20%29%2As+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Make these substitutions:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%2At+=+6+ ALIGN=MIDDLE  ALT=\"+s%2At+=+6+\"   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=+s+=+6%2Ft+ ALIGN=MIDDLE  ALT=\"+s+=+6%2Ft+\"   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=+6+=+6+-+20t+%2B+%283%2F20%29%2A%286%2Ft%29+-+3+ ALIGN=MIDDLE  ALT=\"+6+=+6+-+20t+%2B+%283%2F20%29%2A%286%2Ft%29+-+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=+3+=+-20t+%2B+%28+9%2F10t+%29+ ALIGN=MIDDLE  ALT=\"+3+=+-20t+%2B+%28+9%2F10t+%29+\"   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=+10t+ ALIGN=MIDDLE  ALT=\"+10t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30t+=+-200t%5E2+%2B+9+ ALIGN=MIDDLE  ALT=\"+30t+=+-200t%5E2+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200t%5E2+%2B+30t+-+9+=+0+ ALIGN=MIDDLE  ALT=\"+200t%5E2+%2B+30t+-+9+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use 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+ 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+=+200+ ALIGN=MIDDLE  ALT=\"+a+=+200+\"   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+=+-9+ ALIGN=MIDDLE  ALT=\"+c+=+-9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-30+%2B-+sqrt%28+30%5E2+-+4%2A200%2A%28-9%29+%29%29+%2F+%282%2A200%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-30+%2B-+sqrt%28+30%5E2+-+4%2A200%2A%28-9%29+%29%29+%2F+%282%2A200%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+=+%28-30+%2B-+sqrt%28+900+%2B+7200+%29%29+%2F+400+ ALIGN=MIDDLE  ALT=\"+t+=+%28-30+%2B-+sqrt%28+900+%2B+7200+%29%29+%2F+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-30+%2B-+sqrt%28+8100+%29%29+%2F+400+ ALIGN=MIDDLE  ALT=\"+t+=+%28-30+%2B-+sqrt%28+8100+%29%29+%2F+400+\"   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+-30+%2B+90+%29+%2F+400+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-30+%2B+90+%29+%2F+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( ignore the negative square root )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+60+%2F+400+ ALIGN=MIDDLE  ALT=\"+t+=+60+%2F+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+.15+ ALIGN=MIDDLE  ALT=\"+t+=+.15+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.15%2A60+=+9+ ALIGN=MIDDLE  ALT=\"+.15%2A60+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "When roads are icy,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+9+=+9+%2B+9+ ALIGN=MIDDLE  ALT=\"+t+%2B+9+=+9+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+9+=+18+ ALIGN=MIDDLE  ALT=\"+t+%2B+9+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When roads are icy, it takes 18 minutes<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+s%2At+ ALIGN=MIDDLE  ALT=\"+6+=+s%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=+6+=+s%2A.15+ ALIGN=MIDDLE  ALT=\"+6+=+s%2A.15+\"   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+=+40+ ALIGN=MIDDLE  ALT=\"+s+=+40+\"   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=+6+=+%28+s+-+20+%29%2A%28+t+%2B+3%2F20+%29+ ALIGN=MIDDLE  ALT=\"+6+=+%28+s+-+20+%29%2A%28+t+%2B+3%2F20+%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=+6+=+%28+40+-+20+%29%2A%28+.15+%2B+.15+%29+ ALIGN=MIDDLE  ALT=\"+6+=+%28+40+-+20+%29%2A%28+.15+%2B+.15+%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=+6+=+20+%2A+.3+ ALIGN=MIDDLE  ALT=\"+6+=+20+%2A+.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=+6+=+6+ ALIGN=MIDDLE  ALT=\"+6+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );