document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=632407>Question 632407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Red Riding Hood drives the 432 miles to go Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route.  Her average speed is 6 mph faster than the Wolf’s average speed.  How fast does Red Riding Hood drive? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398262 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=398262\">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=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the Wolf's time to get there in hours<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;\" > = Wolf's average speed in mi/hr<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "RRH's equation:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+432+=+%28+s+%2B+6+%29%2A%28+t+-+1+%29+ ALIGN=MIDDLE  ALT=\"+432+=+%28+s+%2B+6+%29%2A%28+t+-+1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Wolf's equation:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+432+=+s%2At+ ALIGN=MIDDLE  ALT=\"+432+=+s%2At+\"   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=+432+=+s%2At+%2B+6t+-+s+-+6+ ALIGN=MIDDLE  ALT=\"+432+=+s%2At+%2B+6t+-+s+-+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) t = 432/s }}}<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Substitute (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+432+=+s%2A%28432%2Fs%29+%2B+6%2A%28432%2Fs%29+-+s+-+6+ ALIGN=MIDDLE  ALT=\"+432+=+s%2A%28432%2Fs%29+%2B+6%2A%28432%2Fs%29+-+s+-+6+\"   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( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+432s+=+432s+%2B+2592-+s%5E2+-+6s+ ALIGN=MIDDLE  ALT=\"+432s+=+432s+%2B+2592-+s%5E2+-+6s+\"   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%5E2+%2B+6s+-+2592+=+0+ ALIGN=MIDDLE  ALT=\"+s%5E2+%2B+6s+-+2592+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic equation<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+=+6+ ALIGN=MIDDLE  ALT=\"+b+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-2592+ ALIGN=MIDDLE  ALT=\"+c+=+-2592+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28-6+%2B-+sqrt%28+6%5E2-4%2A1%2A%28-2592%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"s+=+%28-6+%2B-+sqrt%28+6%5E2-4%2A1%2A%28-2592%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+=+%28+-6+%2B-+sqrt%28+36+%2B+10368+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"s+=+%28+-6+%2B-+sqrt%28+36+%2B+10368+%29%29%2F2+\"   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+-6+%2B-+sqrt%28+10404+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"s+=+%28+-6+%2B-+sqrt%28+10404+%29%29%2F2+\"   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+-6+%2B+102+%29+%2F2+ ALIGN=MIDDLE  ALT=\"+s+=+%28+-6+%2B+102+%29+%2F2+\"   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=+s+=+96%2F2+ ALIGN=MIDDLE  ALT=\"+s+=+96%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+48+ ALIGN=MIDDLE  ALT=\"+s+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "RRH's speed was 48 mi/hr<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+432+=+s%2At+ ALIGN=MIDDLE  ALT=\"+432+=+s%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=+432+=+48%2At+ ALIGN=MIDDLE  ALT=\"+432+=+48%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=+t+=+9+ ALIGN=MIDDLE  ALT=\"+t+=+9+\"   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=+432+=+%28+s+%2B+6+%29%2A%28+t+-+1+%29+ ALIGN=MIDDLE  ALT=\"+432+=+%28+s+%2B+6+%29%2A%28+t+-+1+%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=+432+=+%28+s+%2B+6+%29%2A%28+9+-+1+%29+ ALIGN=MIDDLE  ALT=\"+432+=+%28+s+%2B+6+%29%2A%28+9+-+1+%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=+432+=+8%2A%28+s+%2B+6+%29+ ALIGN=MIDDLE  ALT=\"+432+=+8%2A%28+s+%2B+6+%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=+s+%2B+6+=+54+ ALIGN=MIDDLE  ALT=\"+s+%2B+6+=+54+\"   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+=+48+ ALIGN=MIDDLE  ALT=\"+s+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );