document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935602>Question 935602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train from London to Birmingham takes 2 hours for the journey. If the average speed of the train were decreased by 5 miles per hour, the train would take 12 minutes longer.<BR>\n" );
document.write( "Find the distance from London to Birmingham and the average speed of the train, using simultaneous equations </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568907 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=568907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = distance between the cities (miles)<BR>\n" );
document.write( "y = speed of the train (mph)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "s = d/t<BR>\n" );
document.write( "t = d/s<BR>\n" );
document.write( "---<BR>\n" );
document.write( "at normal speed:<BR>\n" );
document.write( "y = x/2<BR>\n" );
document.write( "2y = x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "at reduced speed:<BR>\n" );
document.write( "y - 5 = x/(2 + 12/60)<BR>\n" );
document.write( "y - 5 = x/2.2<BR>\n" );
document.write( "2.2y - 2.2*5 = x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "put the system of linear equations into standard form<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x - 2y = 0<BR>\n" );
document.write( "x - 2.2y = -11<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above standard form linear equations in to this solver:<BR>\n" );
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document.write( "---<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "x = distance between the cities (miles) = 110<BR>\n" );
document.write( "y = speed of the train (mph) = 55<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );