document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=25708>Question 25708</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 #13807 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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=13807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the speed of one train be x<BR>\n" );
document.write( "Let the speed of the other be 2x<BR>\n" );
document.write( "Since 50 miles is the distance with unknown speed = 50/x for slower train and 50/2x for the faster one.<BR>\n" );
document.write( "EXPRESSION:<BR>\n" );
document.write( "50/x+50/2x=1<BR>\n" );
document.write( "50[(x)+(2x)]=(x)(2x)<BR>\n" );
document.write( "150x=2x^2<BR>\n" );
document.write( "2x^2-150x=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "a=2 , b=-150, c= 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28150%2B-sqrt%2822500-4%282%29%280%29%29%29%2F%282%282%29%29 ALIGN=MIDDLE  ALT=\"x=%28150%2B-sqrt%2822500-4%282%29%280%29%29%29%2F%282%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28150%2B-sqrt%2822500%29%29%2F4%29 ALIGN=MIDDLE  ALT=\"x=%28150%2B-sqrt%2822500%29%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > remove the negative sign<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28150%2Bsqrt%2822500%29%29%2F4%29 ALIGN=MIDDLE  ALT=\"x=%28150%2Bsqrt%2822500%29%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28150%2B150%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28150%2B150%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=300%2F4 ALIGN=MIDDLE  ALT=\"x=300%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=75<BR>\n" );
document.write( "75(2)=150\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hence, the speed of one train is 75mph and for other its 150mph.<BR>\n" );
document.write( "Paul.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );