document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145488>Question 1145488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train leaves a station and travels north at 75km/h. Two hours later, a second train leaves on a parallel track traveling north at 125km/h. How far from the station will the second train overtake the first train?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #766708 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=766708\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> r*t=d<BR>\n" );
document.write( "r = rate<BR>\n" );
document.write( "t = time<BR>\n" );
document.write( "d = distance\r<BR>\n" );
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document.write( "for the first train, the formula becomes 75 * t = d<BR>\n" );
document.write( "for the second train, the formula becomes 125 * (t-2) = d\r<BR>\n" );
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document.write( "the second train will overtake the first train after they both have traveled the same distance.\r<BR>\n" );
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document.write( "since both equal to d, then both equal to each other and you get:<BR>\n" );
document.write( "75 * t = 125 * (t-2)<BR>\n" );
document.write( "simplify to get 75 * t = 125 * t - 250<BR>\n" );
document.write( "subtract 75 * t from both sides and add 250 to both sides to get:<BR>\n" );
document.write( "250 = 125 * t - 75 * t<BR>\n" );
document.write( "combine like terms to get 250 = 50 * t<BR>\n" );
document.write( "solve for t to get t= 5\r<BR>\n" );
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document.write( "the second train will overtake the first train after they have both traveled for 5 hours.\r<BR>\n" );
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document.write( "75 * 5 = 375<BR>\n" );
document.write( "125 * 3 = 375\r<BR>\n" );
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document.write( "at exactly 5 hours, both trains will be neck and neck.<BR>\n" );
document.write( "after 5 hours, the second train will have traveled a greater distance than the first train.\r<BR>\n" );
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