document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=829821>Question 829821</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A passenger train leaves Chicago for Birmingham one hour later than a freight train leaves Birmingham for Chicago. The trains are 583 miles apart on parallel tracks. The passenger train travels at 120 miles per hour, and the freight train travels at 75 mph. Where do they meet? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500119 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=500119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "s = d/t<BR>\n" );
document.write( "t = d/s<BR>\n" );
document.write( "d = s*t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "freight train head-start:<BR>\n" );
document.write( "d = 75 mi/hr * 1 hr<BR>\n" );
document.write( "d = 75 miles<BR>\n" );
document.write( "---<BR>\n" );
document.write( "relative distance between the trains, when the passenger train departs Chicago:<BR>\n" );
document.write( "583 - 75 = 508 miles<BR>\n" );
document.write( "---<BR>\n" );
document.write( "relative speed of the two trains:<BR>\n" );
document.write( "120 + 75 = 195 mph<BR>\n" );
document.write( "---<BR>\n" );
document.write( "elapsed time since the passenger train departs Chicago, when the merge occurs:<BR>\n" );
document.write( "t = d/s<BR>\n" );
document.write( "t = 508/195<BR>\n" );
document.write( "t = 2.605128205128205 hours<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the meet (relative to the passenger train's departure point):<BR>\n" );
document.write( "d = s*t<BR>\n" );
document.write( "d = 120 mi/hr * 2.605128205128205 hours<BR>\n" );
document.write( "d = 312.6 miles from Chicago<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );