document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312688>Question 312688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A TRAIN LEAVES D.C. AT NOON TRAVELING NORTH AT 44 MPH.  ONE HOUR LATER, ANOTHER TRAIN GOING 52 MPH TRAVELS NORTH ON A PARALLEL TRACK.  HOW MANY HOURS WILL THE SECOND TRAIN TRAVEL BEFORE IT OVERTAKES 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 #223555 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> train A leaves 12 noon at 44 mph.<BR>\n" );
document.write( "Train B leaves at 1 pm at 52 mph<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Before train B leaves DC train A has traveled 44*1 = 44 miles.<BR>\n" );
document.write( "From this point let train A travel x miles before they meet.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "So train B travels x+44 miles to catch up with train.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "time taken by train A = x/44<BR>\n" );
document.write( "time taken by train B = x+44 / 52<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x/44 = x+44 / 52<BR>\n" );
document.write( "52x =44*(x+44)<BR>\n" );
document.write( "52x=44x +1936<BR>\n" );
document.write( "8x=1936<BR>\n" );
document.write( "x= 242 miles.<BR>\n" );
document.write( "Train B has to travel 242+44=286 miles to catch up.<BR>\n" );
document.write( "its speed is 52 mph<BR>\n" );
document.write( "time taken = 286/52<BR>\n" );
document.write( "=5.5 hours </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );