document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980719>Question 980719</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two trains are 500 miles apart when they first start moving towards each other. If in two hours the distance between them is 300 miles, and one train goes 20 miles faster than the other, find the speed of the faster train. There are more 2 solutions  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601797 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=601797\">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<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+20+ ALIGN=MIDDLE  ALT=\"+s+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the faster train<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "If the trains started out being 500 mi apart,<BR>\n" );
document.write( "and ended up 300 mi apart, then the sum of the<BR>\n" );
document.write( "distances they traveled must be 200 mi<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance in miles the <BR>\n" );
document.write( "slower train has traveled until they are 300 mi apart<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+-+d+ ALIGN=MIDDLE  ALT=\"+200+-+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance in miles the slower train <BR>\n" );
document.write( "has traveled until they are 300 mi apart<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "Equation for slower train:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+s%2A2+ ALIGN=MIDDLE  ALT=\"+d+=+s%2A2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for faster train:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+-+d+=+%28+s%2B20+%29%2A2+ ALIGN=MIDDLE  ALT=\"+200+-+d+=+%28+s%2B20+%29%2A2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<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=+200+-+2s+=+%28+s%2B20+%29%2A2+ ALIGN=MIDDLE  ALT=\"+200+-+2s+=+%28+s%2B20+%29%2A2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+-+2s+=+2s+%2B+40+ ALIGN=MIDDLE  ALT=\"+200+-+2s+=+2s+%2B+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4s+=+160+ ALIGN=MIDDLE  ALT=\"+4s+=+160+\"   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+=+40+ ALIGN=MIDDLE  ALT=\"+s+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%2B20+=+60+ ALIGN=MIDDLE  ALT=\"+s%2B20+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The faster train's speed is 60 mi/hr<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+s%2A2+ ALIGN=MIDDLE  ALT=\"+d+=+s%2A2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+40%2A2+ ALIGN=MIDDLE  ALT=\"+d+=+40%2A2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+80+ ALIGN=MIDDLE  ALT=\"+d+=+80+\"   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=+200+-+d+=+%28+s%2B20+%29%2A2+ ALIGN=MIDDLE  ALT=\"+200+-+d+=+%28+s%2B20+%29%2A2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+-+d+=+%28+40%2B20+%29%2A2+ ALIGN=MIDDLE  ALT=\"+200+-+d+=+%28+40%2B20+%29%2A2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+-+d+=+120+ ALIGN=MIDDLE  ALT=\"+200+-+d+=+120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+%2B+120+=+200+ ALIGN=MIDDLE  ALT=\"+80+%2B+120+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the sum<BR>\n" );
document.write( "of the distances they traveled<BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );