document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146139>Question 146139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes a passanger train 5 hr less time than it takes a freight train to make the trip from Picture Rock to Shelbyville. The passanger train averages 90mph while the freight train averages 60 mph. Find the distance from Picture Rock to Shelbyville.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106688 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=106688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since \"takes a passanger train 5 hr less time than it takes a freight train\" this means that we have the equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bp%5D=t%5Bf%5D-5 ALIGN=MIDDLE  ALT=\"t%5Bp%5D=t%5Bf%5D-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=rt ALIGN=MIDDLE  ALT=\"d=rt\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the distance-rate-time formula\r<BR>\n" );
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document.write( "Let's set up the equation for the passenger train\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=90t%5Bp%5D ALIGN=MIDDLE  ALT=\"d=90t%5Bp%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=90 ALIGN=MIDDLE  ALT=\"r=90\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=t%5Bp%5D ALIGN=MIDDLE  ALT=\"t=t%5Bp%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=90%28t%5Bf%5D-5%29 ALIGN=MIDDLE  ALT=\"d=90%28t%5Bf%5D-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bp%5D=t%5Bf%5D-5 ALIGN=MIDDLE  ALT=\"t%5Bp%5D=t%5Bf%5D-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=90t%5Bf%5D-450 ALIGN=MIDDLE  ALT=\"d=90t%5Bf%5D-450\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "Now let's set up the equation for the freight train\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=60t%5Bf%5D ALIGN=MIDDLE  ALT=\"d=60t%5Bf%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=60 ALIGN=MIDDLE  ALT=\"r=60\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=t%5Bf%5D ALIGN=MIDDLE  ALT=\"t=t%5Bf%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90t%5Bf%5D-450=60t%5Bf%5D ALIGN=MIDDLE  ALT=\"90t%5Bf%5D-450=60t%5Bf%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now replace \"d\" with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90t%5Bf%5D-450 ALIGN=MIDDLE  ALT=\"90t%5Bf%5D-450\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90t%5Bf%5D=60t%5Bf%5D%2B450 ALIGN=MIDDLE  ALT=\"90t%5Bf%5D=60t%5Bf%5D%2B450\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450 ALIGN=MIDDLE  ALT=\"450\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90t%5Bf%5D-60t%5Bf%5D=450 ALIGN=MIDDLE  ALT=\"90t%5Bf%5D-60t%5Bf%5D=450\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60t%5Bf%5D ALIGN=MIDDLE  ALT=\"60t%5Bf%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30t%5Bf%5D=450 ALIGN=MIDDLE  ALT=\"30t%5Bf%5D=450\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bf%5D=%28450%29%2F%2830%29 ALIGN=MIDDLE  ALT=\"t%5Bf%5D=%28450%29%2F%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bf%5D ALIGN=MIDDLE  ALT=\"t%5Bf%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bf%5D=15 ALIGN=MIDDLE  ALT=\"t%5Bf%5D=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "So it takes 15 hours for the freight train to arrive\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=60t%5Bf%5D ALIGN=MIDDLE  ALT=\"d=60t%5Bf%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the freight train speed equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=60%2815%29 ALIGN=MIDDLE  ALT=\"d=60%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bf%5D=15 ALIGN=MIDDLE  ALT=\"t%5Bf%5D=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=900 ALIGN=MIDDLE  ALT=\"d=900\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So the distance is 900 miles </SPAN>\n" );
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