document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=662490>Question 662490</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two towns have a distance of 224 km. How long to reach the town if by travelling 6 kph faster, the trip is reduced by 1 hr.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #412296 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=412296\">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 normal speed in km/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;\" > = time to reach town at normal speed in hrs<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+6+ ALIGN=MIDDLE  ALT=\"+s+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = faster speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+1+ ALIGN=MIDDLE  ALT=\"+t+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time to reach town at faster speed<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Equation for normal speed:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+224+=+s%2At+ ALIGN=MIDDLE  ALT=\"+224+=+s%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for faster speed:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+224+=+%28+s+%2B+6+%29%2A%28+t+-+1+%29+ ALIGN=MIDDLE  ALT=\"+224+=+%28+s+%2B+6+%29%2A%28+t+-+1+%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=+s+=+224%2Ft+ ALIGN=MIDDLE  ALT=\"+s+=+224%2Ft+\"   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=+224+=+%28+224%2Ft+%2B+6+%29%2A%28+t+-+1+%29+ ALIGN=MIDDLE  ALT=\"+224+=+%28+224%2Ft+%2B+6+%29%2A%28+t+-+1+%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=+224+=+224+%2B+6t+-+224%2Ft+-+6+%7D%7D%0D%0A%282%29+%7B%7B%7B+0+=+6t+-+224%2Ft+-+6+ ALIGN=MIDDLE  ALT=\"+224+=+224+%2B+6t+-+224%2Ft+-+6+%7D%7D%0D%0A%282%29+%7B%7B%7B+0+=+6t+-+224%2Ft+-+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+224%2Ft+=+6t+-+6+ ALIGN=MIDDLE  ALT=\"+224%2Ft+=+6t+-+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=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+224+=+6t%5E2+-+6t+ ALIGN=MIDDLE  ALT=\"+224+=+6t%5E2+-+6t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3t%5E2+-+3t+-+112+=+0+ ALIGN=MIDDLE  ALT=\"+3t%5E2+-+3t+-+112+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula to solve<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+=+3+ ALIGN=MIDDLE  ALT=\"+a+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-3+ ALIGN=MIDDLE  ALT=\"+b+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-112+ ALIGN=MIDDLE  ALT=\"+c+=+-112+\"   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-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2+-+4%2A3%2A%28-112%29+%29%29+%2F+%282%2A3%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2+-+4%2A3%2A%28-112%29+%29%29+%2F+%282%2A3%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+3+%2B-+sqrt%28+9+%2B+1344+%29%29+%2F+6+ ALIGN=MIDDLE  ALT=\"+t+=+%28+3+%2B-+sqrt%28+9+%2B+1344+%29%29+%2F+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+=+%28+3+%2B-+sqrt%28+1353+%29%29+%2F+6+ ALIGN=MIDDLE  ALT=\"+t+=+%28+3+%2B-+sqrt%28+1353+%29%29+%2F+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+=+%28+3+%2B+36.783+%29+%2F+6+ ALIGN=MIDDLE  ALT=\"+t+=+%28+3+%2B+36.783+%29+%2F+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+=+6.631+ ALIGN=MIDDLE  ALT=\"+t+=+6.631+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "It normally takes 6.631 hrs to reach town<BR>\n" );
document.write( "or 6 hrs 38 min<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+224+=+s%2At+ ALIGN=MIDDLE  ALT=\"+224+=+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=+224+=+s%2A6.631+ ALIGN=MIDDLE  ALT=\"+224+=+s%2A6.631+\"   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+=+33.78+ ALIGN=MIDDLE  ALT=\"+s+=+33.78+\"   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=+224+=+%28+s+%2B+6+%29%2A%28+6.631+-+1+%29+ ALIGN=MIDDLE  ALT=\"+224+=+%28+s+%2B+6+%29%2A%28+6.631+-+1+%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=+224+=+%28+s+%2B+6+%29%2A5.631+ ALIGN=MIDDLE  ALT=\"+224+=+%28+s+%2B+6+%29%2A5.631+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+6+=+39.78+ ALIGN=MIDDLE  ALT=\"+s+%2B+6+=+39.78+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+33.78+ ALIGN=MIDDLE  ALT=\"+s+=+33.78+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
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