document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29463>Question 29463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am not sure how to set this up. An express and a local train leave Seattle at 3pm and head for Arlington 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of the train. <BR>\n" );
document.write( "I have tried this several ways.... trying to use elimination, or substitution. I just can't get it. Help!<BR>\n" );
document.write( "50 = x + y<BR>\n" );
document.write( "50 = 2y + x   Is this even close? Thanks for your help!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16251 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=16251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <b>DEFINITIONS</b><BR>\n" );
document.write( "Let x = speed of the local train<BR>\n" );
document.write( "Let 2x = speed of the Express train.<BR>\n" );
document.write( "Let t = time taken for the local train to travel.\r<BR>\n" );
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document.write( "<b>REQUIRED INFO</b><BR>\n" );
document.write( "Formula: speed = dist/time<BR>\n" );
document.write( "distance = 50\r<BR>\n" );
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document.write( "<b>CREATING THE MATHS</b><BR>\n" );
document.write( "For Express train: 2x = 50/(t-1) <BR>\n" );
document.write( "--> t-1 = 50/2x <BR>\n" );
document.write( "--> t = (50/2x) + 1<BR>\n" );
document.write( "For Local train: x = 50/t <BR>\n" );
document.write( "--> t = 50/x\r<BR>\n" );
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document.write( "<b>SOLUTION</b><BR>\n" );
document.write( "Equate both together for t, giving<BR>\n" );
document.write( "(50/2x) + 1 = 50/x<BR>\n" );
document.write( "25/x + 1 = 50/x\r<BR>\n" );
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document.write( "multiply everything by x... this doesn't change anything, just \"scales everything\". Reason... to cancel the fractions out.<BR>\n" );
document.write( "--> 25 + x = 50<BR>\n" );
document.write( "x = 25 mph\r<BR>\n" );
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document.write( "and so we have:<BR>\n" );
document.write( "Speed of Local train = 25mph<BR>\n" );
document.write( "Speed of Express train = 50mph\r<BR>\n" );
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document.write( "<b>CHECK</b><BR>\n" );
document.write( "Express train would take 1 hour to travel 50 miles at 50mph.<BR>\n" );
document.write( "Local train would take 2 hours to travel 50 miles at 25mph.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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