document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67706>Question 67706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train leaves a station at 9:00 A.M. traveling at a constant rate of speed. Two hours later a second train, traveling at an average rate of 25 miles per hour more than the first train, leaves the same station, going in the same direction, on a parallel track. If the faster train overtakes the first train at 3:00 P.M. on the same day, what is the average rate of speed of the first train. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48168 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=48168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A train leaves a station at 9:00 A.M. traveling at a constant rate of speed. Two hours later a second train, traveling at an average rate of 25 miles per hour more than the first train, leaves the same station, going in the same direction, on a parallel track. If the faster train overtakes the first train at 3:00 P.M. on the same day, what is the average rate of speed of the first train.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "If train two overtakes train one at 3:00 train two must have traveled<BR>\n" );
document.write( "from 11:00 to 3:00 or 4 hours.  Train one left two hours earlier so <BR>\n" );
document.write( "it must have traveled for 6 hours.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Train one DATA:<BR>\n" );
document.write( "Time = 6 hours ; Rate = x mph;  Distance = r*t = 6x miles<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Train two DATA:<BR>\n" );
document.write( "Time = 4 hurs ; Rate = x+25 mph ; Distance = r*t = 4(x+25)<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "distance = distance <BR>\n" );
document.write( "6x=4(x+25)<BR>\n" );
document.write( "6x=4x+100<BR>\n" );
document.write( "2x=100<BR>\n" );
document.write( "x=50 mph (speed of 1st train)<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );