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" );
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document.write( "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)<BR>\n" );
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document.write( "Let t be the time train A traveled to get the meeting point (in hours).\r\n" );
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document.write( "     Then from the problem, train B traveled the same time t from R to get the meeting point;\r\n" );
document.write( "                            train C traveled (t-1) hours from Q to get the meeting point.\r\n" );
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document.write( "Consider trains A and B.\r\n" );
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document.write( "     To get the meeting point, train A traveled 90*t kilometers;\r\n" );
document.write( "                               train B traveled 60*t kilometers.\r\n" );
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document.write( "     For train B, the travel distance to get the meeting point was 60 km less than that for train A, \r\n" );
document.write( "     so we write this equation\r\n" );
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document.write( "          90t = 60t + 60.\r\n" );
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document.write( "We simplify this equation and find t\r\n" );
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document.write( "          90t - 60t = 60\r\n" );
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document.write( "           30t = 60\r\n" );
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document.write( "             t = 60/30 = 2 hours.\r\n" );
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document.write( "Now we know that the travel time for A to get the meeting point was 2 hours;\r\n" );
document.write( "hence, the travel time for train C was 1 hour less that that, or 2-1 = 1 hour.\r\n" );
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document.write( "At this point, we can find the total distance PQ.  It is the sum of partial distances \r\n" );
document.write( "for train A and train C to get the meeting point, or\r\n" );
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document.write( "    90*2 + 120*1 = 180 + 120 = 300 kilometers.\r\n" );
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document.write( "<U>ANSWER</U>.  The distance from P to Q is 300 kilometers.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "As you see from this solution, the basic skills required is an ability to solve <BR>\n" );
document.write( "standard basic Travel @ Distance problems, and combining different aspects of them.\r<BR>\n" );
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document.write( "For simple Travel & Distance problems, &nbsp;see introductory lessons \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/travel/Travel-and-Distance-problems.lesson>Travel and Distance problems</A>  \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/word/travel/Travel-and-Distance-problems-for-two-bodies-moving-toward-each-other.lesson>Travel and Distance problems for two bodies moving in opposite directions</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/word/travel/Typical-catching-up-Travel-and-Distance-problems.lesson>Travel and Distance problems for two bodies moving in the same direction (catching up)</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "They are written specially for you.\r<BR>\n" );
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document.write( "You will find the solutions of many basic problems there.\r<BR>\n" );
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document.write( "Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.\r<BR>\n" );
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document.write( "Become an expert in this area.\r<BR>\n" );
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