document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=817157>Question 817157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> [ A train leaves San Diego at 3:00 pm. A second train leaves the same city traveling in the same direction at 6:00 pm. The second train travels 45 mph faster than the first. If the second train overtakes the first at 10:00 pm, what is the speed of each of the two trains. ] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491897 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=491897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a = s mph<BR>\n" );
document.write( "b = (s + 45) mph<BR>\n" );
document.write( "---<BR>\n" );
document.write( "s = d / t<BR>\n" );
document.write( "d = s * t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "when the trains meet at 10 PM they are both at the same distance D from the station, but b has traveled 3 hours less than a <BR>\n" );
document.write( "---<BR>\n" );
document.write( "train a:<BR>\n" );
document.write( "D = a(10 - 3)<BR>\n" );
document.write( "D = 7a<BR>\n" );
document.write( "---<BR>\n" );
document.write( "train b:<BR>\n" );
document.write( "D = b(10 - 6)<BR>\n" );
document.write( "D = 4b<BR>\n" );
document.write( "---<BR>\n" );
document.write( "4b = 7a<BR>\n" );
document.write( "4(s + 45) = 7s<BR>\n" );
document.write( "4s + 180 = 7s<BR>\n" );
document.write( "3s = 180<BR>\n" );
document.write( "s = 60<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "train-a speed: 60 mph<BR>\n" );
document.write( "train-b speed: 105 mph<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );