document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230535>Question 230535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for both variables.\r<BR>\n" );
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document.write( "An express train and a local train leave a station at the same time (on separate tracks) and head for a town 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 #170997 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=170997\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An express train and a local train leave a station at the same time (on separate tracks) and head for a town 50 miles away.<BR>\n" );
document.write( " The express travels twice as fast as the local and arrives 1 hour ahead of the local.<BR>\n" );
document.write( " Find the speed of each train.<BR>\n" );
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document.write( "I can't imagine why you would use two variables and two equations on this problem<BR>\n" );
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document.write( "simple time equation would work fine<BR>\n" );
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document.write( "Let s = speed of the slow train<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2s = speed of the fast train<BR>\n" );
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document.write( "slow train time = fast train time + 1 hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2Fs ALIGN=MIDDLE  ALT=\"50%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F%282s%29 ALIGN=MIDDLE  ALT=\"50%2F%282s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1<BR>\n" );
document.write( "Multiply by 2s<BR>\n" );
document.write( "2(50) = 50 + 2s<BR>\n" );
document.write( "100 - 50 = 2s<BR>\n" );
document.write( "2s = 50<BR>\n" );
document.write( "s = 25 mph, slow train and 50 mph fast train<BR>\n" );
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document.write( "Check solution in time equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F25 ALIGN=MIDDLE  ALT=\"50%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F50 ALIGN=MIDDLE  ALT=\"50%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1 </SPAN>\n" );
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