document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=371335>Question 371335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train left a railroad station in N.Y. at 9:00 AM bound for Washington, D.C. traveling at a uniform speed. At 10:30 AM another train left the same station bound for Washington D.C. (on a different track) averaging 20 mph more than the first train and passed the first train 180 miles from N.Y. Find the speed of each train.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264528 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=264528\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A train left a railroad station in N.Y. at 9:00 AM bound for Washington, D.C. traveling at a uniform speed. At 10:30 AM another train left the same station bound for Washington D.C. (on a different track) averaging 20 mph more than the first train and passed the first train 180 miles from N.Y. Find the speed of each train. <BR>\n" );
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document.write( "1st train DATA:<BR>\n" );
document.write( "distance = 180 mi ; time = x hrs ; rate = 180/x mph<BR>\n" );
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document.write( "2nd train DATA:<BR>\n" );
document.write( "distance = 180 mi ; time = (x-(3/2)) hrs ; rate = 180/(x-(3/2)) mph<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "2nd train rate - 1st train rate = 20 mph<BR>\n" );
document.write( "180/(x-(3/2)) - 180/x = 20<BR>\n" );
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document.write( "2/(2x-3) - 1/x = 1/9<BR>\n" );
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document.write( "Multiply thru by 9x(2x-3) to get:<BR>\n" );
document.write( "18x - 9(2x-3) = x(2x-3)<BR>\n" );
document.write( "27 = 2x^2-3x<BR>\n" );
document.write( "2x^2 - 3x - 27 = 0<BR>\n" );
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document.write( "x = 4.5 hrs<BR>\n" );
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document.write( "1st train rate = 180/4.5 = 40 mph<BR>\n" );
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document.write( "2nd train rate = 180/(4.5-1.5) = 180/3 = 60 mph<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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