document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=615900>Question 615900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> train goes 32 miles pee hour and opposite direction 16 miles per hour.what is average speed<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387376 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=387376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "I'm going to assume that you mean:  \"A train goes 32 miles per hour for a certain distance and then turns around an goes 16 miles per hour for that same distance.  What is the average speed of the train.\"\r<BR>\n" );
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document.write( "You see how much nicer it is when you use correct English so that people who are trying to help you can understand what you want?\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large d\"> represent the distance traveled at 32 miles per hour, then the amount of time required to travel this distance is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{d}{32}\"> hours.  Likewise the amount of time required for the return trip is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{d}{16}\">.  Therefore the time for the entire trip both ways is the sum of these two times:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{d}{32}\ +\ \frac{d}{16}\ =\ \frac{3d}{32}\">\r<BR>\n" );
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document.write( "The total distance traveled is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2d\">, so the average speed is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2d\ \div\ \frac{3d}{32}\ =\ \frac{64}{3}\ =\ 21\frac{1}{3}\"> miles per hour.\r<BR>\n" );
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document.write( "<u>Super Double Plus Extra Credit</u>: Explain why, even though the average speed is 21 and one-third miles per hour, the average velocity is zero.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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