document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198243>Question 198243</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780495553458/algebrahomeworkh></A><BR>\n" );
document.write( ": <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 #148697 by </B><A HREF=/tutors/aboutme.mpl?userid=anantha><B>anantha(86)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=anantha><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=148697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sol:<BR>\n" );
document.write( "let the speed of the local train=x miles/hr<BR>\n" );
document.write( "and speed of the express train= twice as fast as local=2x miles/hr<BR>\n" );
document.write( "distance a head=50miles<BR>\n" );
document.write( "time taken to travel x miles/hr=50/x<BR>\n" );
document.write( "time taken to travel 2x miles/hr=50/2x<BR>\n" );
document.write( "according to the problem diffference a head of their timings=1hour<BR>\n" );
document.write( "50/x-50/2x=1<BR>\n" );
document.write( "100-50/2x=1<BR>\n" );
document.write( "50/2x=1<BR>\n" );
document.write( "2x=50<BR>\n" );
document.write( "x=50/2<BR>\n" );
document.write( "x=25<BR>\n" );
document.write( "2x=25*2=50<BR>\n" );
document.write( "speed of local train=25 miles/hr<BR>\n" );
document.write( "speed of express train=50 miles/hr\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );