document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=307199>Question 307199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The speed of a passenger train is 18 mph faster than the speed of a freight train. The passenger train travels 320 miles in the same time it takes the freight train to travel 230 miles.  What is the speed of each train?<BR>\n" );
document.write( "Passenger?<BR>\n" );
document.write( "Freight? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #219796 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=219796\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's write down everything we know. I will use p to denote Passenger train, and f to denote Freight train. Note that v is velocity (which is another word for speed).\r<BR>\n" );
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document.write( "Dp=320 miles<BR>\n" );
document.write( "Df=230 miles<BR>\n" );
document.write( "Vp=Vf+18<BR>\n" );
document.write( "Vf=?\r<BR>\n" );
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document.write( "Tp=Tf   \r<BR>\n" );
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document.write( "The fact that the times are equal is very important. We will use the distance speed formula, D=VT, to solve. Let's rearrange the formula so that it is isolated for T. D/V = T\r<BR>\n" );
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document.write( "So Dp/Vp = Tp   and Df/Vf = Tf\r<BR>\n" );
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document.write( "Now we can set the two equations equal to each other, because Tp=Tf:\r<BR>\n" );
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document.write( "Dp/Vp = Df/Vf\r<BR>\n" );
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document.write( "320/(Vf+18) = 230 / Vf\r<BR>\n" );
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document.write( "Cross multiply to get rid of the denominators:\r<BR>\n" );
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document.write( "320Vf = 230Vf + 4140<BR>\n" );
document.write( "90Vf = 4140<BR>\n" );
document.write( "Vf = 4140/90<BR>\n" );
document.write( "Vf=46 \r<BR>\n" );
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document.write( "Vf=46mph\r<BR>\n" );
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document.write( "The passenger train is 18 mph faster than the freight train, so Vp =46+18 =64mph\r<BR>\n" );
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document.write( "Freight Train speed = 46 mph<BR>\n" );
document.write( "Passenger train speed = 64 mph </SPAN>\n" );
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