document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208172>Question 1208172</A>: <I><SPAN STYLE=\"word-break: break-all;\">  P and Q are two stations. Train A started from P <BR>\n" );
document.write( "towards Q at 6:00 a.m at 90 kmph. At the same <BR>\n" );
document.write( "time, train B started from R, an intermediate station <BR>\n" );
document.write( "60 km from P, and travelled towards Q at 60 kmph. <BR>\n" );
document.write( "Train C started from Q towards P at 7:00 a.m at <BR>\n" );
document.write( "120 kmph. All the trains crossed each other <BR>\n" );
document.write( "simultaneously. Find PQ (in km) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846398 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=846398\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Trains A and B both started at the same time going in the same direction at different speeds, with B having a \"head start\" of 60km.<br><BR>\n" );
document.write( "Train A catches up to train B at a rate equal to the difference of their speeds -- at 30km each hour.<br><BR>\n" );
document.write( "Since train A catches up to train B at a rate of 30km each hour, and since it needs to make up a distance of 60km, the number of hours it takes train A to catch up to train B is 60/30 = 2.<br><BR>\n" );
document.write( "So when train A catches up to train B, it has traveled 2 hours at 90km/h, a distance of 180km; train B started 60km from P and traveled 2 hours at 60km/h, putting it at a distance of 60+2(60) = 180km from P.<br><BR>\n" );
document.write( "Train C started from Q and headed towards P at 120km/h. I started 1 hour later that the other two trains, so it traveled 1 hour at 120km/h, a distance of 120km.<br><BR>\n" );
document.write( "Trains A, B, and C reached the same place at the same time.  At that time, trains A and B were 180km from P and train C was 120km from Q.  So the distance from P to Q was 180+120 = 300km.<br><BR>\n" );
document.write( "ANSWER: 300km<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );