document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=417085>Question 417085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two trains, one 350 feet long, the other 450 feet long, on parallel tracks, can pass each other completely in 8 seconds when moving in opposite directions.  When moving in the same direction, the faster train completely passes the slower one in 16 seconds.  Find the speed of the slower train<BR>\n" );
document.write( "Please help me with the steps, <BR>\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #292145 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=292145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two trains, one 350 feet long, the other 450 feet long, on parallel tracks, can<BR>\n" );
document.write( " pass each other completely in 8 seconds when moving in opposite directions.<BR>\n" );
document.write( "  When moving in the same direction, the faster train completely passes the slower one in 16 seconds.  Find the speed of the slower train<BR>\n" );
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document.write( "let f = speed of the faster train (in ft/sec)<BR>\n" );
document.write( "let s = speed of the slower train<BR>\n" );
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document.write( "The total distance covered when trains pass each other: 450 + 350 = 800 ft<BR>\n" );
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document.write( "Two distance equations; dist = time * speed<BR>\n" );
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document.write( "opposite directions, <BR>\n" );
document.write( "8(f + s) = 800<BR>\n" );
document.write( "simplify, divide by 8<BR>\n" );
document.write( "f + s = 100<BR>\n" );
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document.write( "Same direction<BR>\n" );
document.write( "16(f - s) = 800<BR>\n" );
document.write( "Simplify, divide by 16<BR>\n" );
document.write( "f - s = 50<BR>\n" );
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document.write( "Add these two simplified equations<BR>\n" );
document.write( "f + s = 100<BR>\n" );
document.write( "f - s = 50<BR>\n" );
document.write( "--------------addition eliminates s find f<BR>\n" );
document.write( "2f = 150<BR>\n" );
document.write( "f = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2F2 ALIGN=MIDDLE  ALT=\"150%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f = 75 ft/sec speed of the faster train<BR>\n" );
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document.write( "Find s using the equation f + s = 100<BR>\n" );
document.write( "75 + s = 100<BR>\n" );
document.write( "s = 100 - 75<BR>\n" );
document.write( "s = 25 ft/sec is the speed of the slower train<BR>\n" );
document.write( "Convert to mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825%2A3600%29%2F5280 ALIGN=MIDDLE  ALT=\"%2825%2A3600%29%2F5280\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 17.045 mph is the slow train<BR>\n" );
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document.write( "Check solution in the original opposite direction equation<BR>\n" );
document.write( "8(75 + 25) = 800 </SPAN>\n" );
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