document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860612>Question 860612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A diesel train left Washington traveling north four hours before a cattle train.  The cattle train traveled in the opposite direction going 55 mph slower than the diesel train for three hours after which time the trains were 635 miles apart.  Find the diesel train's speed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518635 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=518635\">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 diesel train in mi/hr<BR>\n" );
document.write( "How far does the diesel train get in 4 hrs?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+s%2A4+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+s%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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 the cattle car travels until <BR>\n" );
document.write( "the trains are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+635+ ALIGN=MIDDLE  ALT=\"+635+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi apart<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "If you start a stopwatch when the cattle train<BR>\n" );
document.write( "leaves, it will show 3 hrs when the trains <BR>\n" );
document.write( "are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+635+ ALIGN=MIDDLE  ALT=\"+635+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi apart<BR>\n" );
document.write( "Diesel's equation:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+635+-+d+-+4s+=+s%2A3+ ALIGN=MIDDLE  ALT=\"+635+-+d+-+4s+=+s%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cattle train's equation:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%28+s+-+55+%29%2A3+ ALIGN=MIDDLE  ALT=\"+d+=+%28+s+-+55+%29%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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=+635+-+%28+s+-+55+%29%2A3+-+4s+=+3s+ ALIGN=MIDDLE  ALT=\"+635+-+%28+s+-+55+%29%2A3+-+4s+=+3s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+635+-3s+%2B+165+-+4s+=+3s+ ALIGN=MIDDLE  ALT=\"+635+-3s+%2B+165+-+4s+=+3s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10s+=+800+ ALIGN=MIDDLE  ALT=\"+10s+=+800+\"   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+=+80+ ALIGN=MIDDLE  ALT=\"+s+=+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+-+55+=+25+ ALIGN=MIDDLE  ALT=\"+80+-+55+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi9/hr<BR>\n" );
document.write( "The diesel train's speed was 80 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=+635+-+d+-+4s+=+s%2A3+ ALIGN=MIDDLE  ALT=\"+635+-+d+-+4s+=+s%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+635+-+d+-+4%2A80+=+80%2A3+ ALIGN=MIDDLE  ALT=\"+635+-+d+-+4%2A80+=+80%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+635+-+d+-+320+=+240+ ALIGN=MIDDLE  ALT=\"+635+-+d+-+320+=+240+\"   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+=+635+-+320+-+240+ ALIGN=MIDDLE  ALT=\"+d+=+635+-+320+-+240+\"   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+=+75+ ALIGN=MIDDLE  ALT=\"+d+=+75+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%28+s+-+55+%29%2A3+ ALIGN=MIDDLE  ALT=\"+d+=+%28+s+-+55+%29%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%28+80+-+55+%29%2A3+ ALIGN=MIDDLE  ALT=\"+d+=+%28+80+-+55+%29%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+75+ ALIGN=MIDDLE  ALT=\"+d+=+75+\"   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( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );