document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132806>Question 132806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The speed of a passenger train is 14 mph faster than the speed of a feight train. The passenger train travels 400 mi in the same time that it takes the freight train to travel 330 mi. 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 #97050 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=97050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember that distance equals rate times time, or <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;\" >.\r<BR>\n" );
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document.write( "If the rate of the freight train is r, then the rate of the passenger train is r + 14.\r<BR>\n" );
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document.write( "We can rewrite <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;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=d%2Fr ALIGN=MIDDLE  ALT=\"t=d%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "For the freight train: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=330%2Fr ALIGN=MIDDLE  ALT=\"t=330%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and for the passenger train: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=400%2F%28r%2B14%29 ALIGN=MIDDLE  ALT=\"t=400%2F%28r%2B14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  We know that the times are equal because the problem says \"same time\", so we can say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%2F%28r-14%29=330%2Fr ALIGN=MIDDLE  ALT=\"400%2F%28r-14%29=330%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To solve a proportion, first cross-multiply:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400r=330%28r%2B14%29 ALIGN=MIDDLE  ALT=\"400r=330%28r%2B14%29\"   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=400r=330r%2B4620 ALIGN=MIDDLE  ALT=\"400r=330r%2B4620\"   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=400r-330r=4620 ALIGN=MIDDLE  ALT=\"400r-330r=4620\"   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=70r=4620 ALIGN=MIDDLE  ALT=\"70r=4620\"   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=r=66 ALIGN=MIDDLE  ALT=\"r=66\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The speed of the freight train is 66 mph, and the speed of the passenger train is 66 + 14 = 80 mph.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%2F80=5 ALIGN=MIDDLE  ALT=\"400%2F80=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >hours\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=330%2F66=5 ALIGN=MIDDLE  ALT=\"330%2F66=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >hours\r<BR>\n" );
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document.write( "The times are the same, so the answer checks.\r<BR>\n" );
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