document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151248>Question 1151248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 14 miles per hour slower than the eastbound train. If the two trains are 900 miles apart after 5 hours, what is the rate of the westbound train? Don't do any rounding. Urgent!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772942 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=772942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The combined rate of the two trains is 900/5 = 180mph.<br><BR>\n" );
document.write( "So you need two rates with a sum of 180, with one rate 14mph slower than the other.<br><BR>\n" );
document.write( "From here, you can solve the problem with simple algebra:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+%28x-14%29+=+180 ALIGN=MIDDLE  ALT=\"x+%2B+%28x-14%29+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-14+=+180 ALIGN=MIDDLE  ALT=\"2x-14+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+194 ALIGN=MIDDLE  ALT=\"2x+=+194\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+97 ALIGN=MIDDLE  ALT=\"x+=+97\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The two rates are x=97 mph and x-14 = 83 mph.<br><BR>\n" );
document.write( "If an algebraic solution is not required, here is a quick way to find the two rates with some simple arithmetic.<br><BR>\n" );
document.write( "The sum of the two rates is 180.<BR>\n" );
document.write( "If the two rates were the same, they would be 90 and 90.<BR>\n" );
document.write( "To get two rates with the same sum but a difference of 14, add 7 to one rate and subtract 7 from the other.<br><BR>\n" );
document.write( "ANSWER:  The two rates are 90+7 = 97mph and 90-7 = 83mph.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );