document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=311078>Question 311078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trains A & B are traveling in the same direction on parallel tracks. Tran A is traveling 80 miles per hour and Train B is traveling 90 miles per hour. Train A passes a station at 12:00am. If Train B passes the same station 12:40am, at what time will Train B catch up to Train A? When will Train B catch up with Train A? What is the time and if am or pm? Please help. Thank you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222540 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=222540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Train A speed = 80 mph<BR>\n" );
document.write( "Train B 90 mph\r<BR>\n" );
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document.write( "Train A is ahead of train B at the station by 40 minutes.( 2/3 hours)\r<BR>\n" );
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document.write( "By the time train B reaches the station train A has traveled 80 * 2/3 miles<BR>\n" );
document.write( "=160/3 miles to a point say P.\r<BR>\n" );
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document.write( "Let the distance from point P to the point where train B overtakes train A be x<BR>\n" );
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document.write( "Train B travels  160/3 + x miles in the same time the train A travels x  miles\r<BR>\n" );
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document.write( "time taken by train A = x/80 hours<BR>\n" );
document.write( "time taken by train B = x+160/3  / 90<BR>\n" );
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document.write( "x/80 = 3x+160 / 3 divided by 90<BR>\n" );
document.write( "x/80 = 3x+160 /3  * 1/90\r<BR>\n" );
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document.write( "x/80= 3x+ 160 / 270<BR>\n" );
document.write( "270x = 80(3x+160)<BR>\n" );
document.write( "270x=240x +12800<BR>\n" );
document.write( "30x= 12800<BR>\n" );
document.write( "x=426.66 miles\r<BR>\n" );
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document.write( "time taken by train A t travel x miles = 426.66/80<BR>\n" );
document.write( "=5.33 hours.<BR>\n" );
document.write( "This is the same time taken by train B to cross train A\r<BR>\n" );
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