document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193131>Question 193131</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An express and local train leave GraysLake at 3 P.M and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. 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 #144980 by </B><A HREF=/tutors/aboutme.mpl?userid=jonvaliente><B>jonvaliente(64)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jonvaliente><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=jonvaliente><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=144980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=no of hours it takes for the local train<BR>\n" );
document.write( "x-1=no of hours it takes for the express train<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since speed=distance/time,<BR>\n" );
document.write( "speed of the local train = 50/x<BR>\n" );
document.write( "speed of the express train =50/(x-1)<BR>\n" );
document.write( "If the express train is twice as fast as the local train then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%2850%2Fx%29=50%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"2%2A%2850%2Fx%29=50%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2Fx=50%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"100%2Fx=50%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying both sides by x*(x-1), we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2A%28x-1%29=50%2Ax ALIGN=MIDDLE  ALT=\"100%2A%28x-1%29=50%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100x-100=50x ALIGN=MIDDLE  ALT=\"100x-100=50x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracting 50x from both sides, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50x-100=0 ALIGN=MIDDLE  ALT=\"50x-100=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Adding 100 on both sides, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50x=100 ALIGN=MIDDLE  ALT=\"50x=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Diving both sides by 50 we get:<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "So, the local train takes 2 hours to get to Chicago and the express only takes 1 hour to get there.<BR>\n" );
document.write( "speed of the local train = 50/2 = 25 mph<BR>\n" );
document.write( "speed of the express train = 50/1 = 50 mph\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );