document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=237015>Question 237015</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An express train and a local train leave Grays Lake at 3:00 P.M. and head for Chicago 50 miles away.  The express travels twice as fast as the local and arrivies 1 hour ahead of the local.  Find the speed of each train algebraically and show work.  I believe the speed of the trains is 40 and 20 miles per hour respectivelly.. I'm having trouble formulating the equations<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174349 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=174349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An express train and a local train leave Grays Lake at 3:00 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrivies 1 hour ahead of the local. Find the speed of each train algebraically and show work. I believe the speed of the trains is 40 and 20 miles per hour respectivelly.. I'm having trouble formulating the equations<BR>\n" );
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document.write( "Express train DATA<BR>\n" );
document.write( "rate = 2x mph ; distance = 50 miles ; time = d/r = 50/2x hrs<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Local train DATA:<BR>\n" );
document.write( "rate = x mph ; distance = 50 miles ; time = 50/x hrs<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "local time - express time = 1 hr<BR>\n" );
document.write( "50/x - 50/2x = 1<BR>\n" );
document.write( "50/x - 25/x = 1<BR>\n" );
document.write( "Multiply thru by \"x\":<BR>\n" );
document.write( "50 - 25 = x <BR>\n" );
document.write( "x = 25 mph (speed of the local train)<BR>\n" );
document.write( "2x = 50 mph (speed of the express train)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );