document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=560495>Question 560495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You drive on Interstate 10 from Lafayette to Houston, half the time at 56 km/h and the other half at 70 km/h. On the way back you travel half the distance at 56 km/h and the other half at 70 km/h.<BR>\n" );
document.write( "(a) What is your average speed from Lafayette to Houston?<BR>\n" );
document.write( "km/h\r<BR>\n" );
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document.write( "(b) What is your average speed from Houston back to Lafayette?<BR>\n" );
document.write( "km/h\r<BR>\n" );
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document.write( "(c) What is your average speed for the entire trip?<BR>\n" );
document.write( "km/h\r<BR>\n" );
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document.write( "(d) What is your average velocity for the entire trip?<BR>\n" );
document.write( "km/h  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363921 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=363921\">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( "a.  Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t\"> represent time for the entire trip.  Then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{t}{2}\"> represents the amount of time at 56 km/h.  And <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{t}{2}\"> also represents the amount of time at 70 km/h.  Distance equals rate times time, so the distance traveled at 56 km/h is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 28t\">.  The distance traveled at 70 km/h is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 35t\">.  The sum of these distances is the total distance, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large d\">, from Lafayette to Houston, so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 28t\ +\ 35t\ =\ d\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{d}{t}\ =\ 63\">\r<BR>\n" );
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document.write( "Since distance equals rate times time, rate equals distance divided by time.  Hence the average speed from L to H is 63 km/h.\r<BR>\n" );
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document.write( "Write back and I'll give you a quote to do the rest of this.\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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