document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99069>Question 99069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Train a and B are 2823 miles apart. they travel between two stations at an average speed of 172 miles per hour. A train leaves 2.25 hours after a train leaves station B. How long after the train leaves Station A will the trains reach the same point? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72093 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=72093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let t=time after Train A leaves until the are at the same point<BR>\n" );
document.write( "distance(d)=rate(r) times time(t) or d=rt; r=d/t and t=d/r\r<BR>\n" );
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document.write( "When train A leaves, train B has already travelled 172*2.25 or 387 mi\r<BR>\n" );
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document.write( "Now when the distance train A travels plus the distance train B travels equals 2823 mi the two trains will be at the same point \r<BR>\n" );
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document.write( "Distance train B travels =387+172t\r<BR>\n" );
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document.write( "Distance train A travels 172t\r<BR>\n" );
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document.write( "So our equation to solve is:\r<BR>\n" );
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document.write( "387+172t+172t=2823 subtract 387 from both sides \r<BR>\n" );
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document.write( "387-387+344t=2823-387  combine like terms\r<BR>\n" );
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document.write( "344t=2436  divide both sides by 344\r<BR>\n" );
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document.write( "t=7.081************* hrs--------time after Train A leaves until the are at the same point\r<BR>\n" );
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document.write( "Ck<BR>\n" );
document.write( "172*7.081*********+172*7.081**********+387=2823\r<BR>\n" );
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document.write( "1218+1218+387=2823<BR>\n" );
document.write( "2823=2823\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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