document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=641310>Question 641310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two trains travel a 160 km track each day. The express travels 10 km h-1 faster and takes 30 minutes less time than the normal train. Find the speed of the express </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403601 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=403601\">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 of the slower train in km/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+10+ ALIGN=MIDDLE  ALT=\"+s+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the faster train 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 in hrs for the slower train to go 160 km<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+.5+ ALIGN=MIDDLE  ALT=\"+t+-+.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in hrs for faster train to go 160 km<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Slower train:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+160+=+s%2At+ ALIGN=MIDDLE  ALT=\"+160+=+s%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Faster train:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+160+=+%28+s+%2B+10+%29%2A%28+t+-+.5+%29+ ALIGN=MIDDLE  ALT=\"+160+=+%28+s+%2B+10+%29%2A%28+t+-+.5+%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=+160+=+s%2At+%2B+10t+-+.5s+-+5+ ALIGN=MIDDLE  ALT=\"+160+=+s%2At+%2B+10t+-+.5s+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+160%2Fs+ ALIGN=MIDDLE  ALT=\"+t+=+160%2Fs+\"   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=+160+=+s%2A%28+160%2Fs%29+%2B+10%2A%28+160%2Fs+%29+-+.5s+-+5+ ALIGN=MIDDLE  ALT=\"+160+=+s%2A%28+160%2Fs%29+%2B+10%2A%28+160%2Fs+%29+-+.5s+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+160s+=+160s+%2B+1600+-+.5s%5E2+-+5s+ ALIGN=MIDDLE  ALT=\"+160s+=+160s+%2B+1600+-+.5s%5E2+-+5s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.5s%5E2+%2B+5s+-+1600+=+0+ ALIGN=MIDDLE  ALT=\"+.5s%5E2+%2B+5s+-+1600+=+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=+5s%5E2+%2B+50s+-+16000+=+0+ ALIGN=MIDDLE  ALT=\"+5s%5E2+%2B+50s+-+16000+=+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=+s%5E2+%2B+10s+-+3200+=+0+ ALIGN=MIDDLE  ALT=\"+s%5E2+%2B+10s+-+3200+=+0+\"   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-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+=+10+ ALIGN=MIDDLE  ALT=\"+b+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-3200+ ALIGN=MIDDLE  ALT=\"+c+=+-3200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28-10+%2B-+sqrt%28+10%5E2+-+4%2A1%2A%28-3200%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+s+=+%28-10+%2B-+sqrt%28+10%5E2+-+4%2A1%2A%28-3200%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+=+%28-10+%2B-+sqrt%28+100+%2B+12800+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+s+=+%28-10+%2B-+sqrt%28+100+%2B+12800+%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+=+%28-10+%2B-+sqrt%28+12900+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+s+=+%28-10+%2B-+sqrt%28+12900+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check my work and then check the results<BR>\n" );
document.write( "for <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 slower train and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%2B10+ ALIGN=MIDDLE  ALT=\"+s%2B10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "the faster train<BR>\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );