document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947363>Question 947363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You drive from Fox to Nenana(60 miles) at 30 mph. At what rate would you have to drive back to fox so that the average rate for the entire trip is 60 mph.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578019 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=578019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Average rate is always ( total distance ) / ( total time )<BR>\n" );
document.write( "The total distance is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+%2B+60+=+120+ ALIGN=MIDDLE  ALT=\"+60+%2B+60+=+120+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Time for Fox - Nenana trip:<BR>\n" );
document.write( "<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+60%2F30+ ALIGN=MIDDLE  ALT=\"+t+=+60%2F30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+2+ ALIGN=MIDDLE  ALT=\"+t+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Time for Nenana - Fox trip:<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+ ALIGN=MIDDLE  ALT=\"+r+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the rate for this trip<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+60%2Fr+ ALIGN=MIDDLE  ALT=\"+t+=+60%2Fr+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The total time is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+%2B+60%2Fr+ ALIGN=MIDDLE  ALT=\"+2+%2B+60%2Fr+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Average for the whole trip =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+ ALIGN=MIDDLE  ALT=\"+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+ ALIGN=MIDDLE  ALT=\"+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = ( total distance ) / ( total time )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+=+120+%2F+%28+2+%2B+60%2Fr+%29+ ALIGN=MIDDLE  ALT=\"+60+=+120+%2F+%28+2+%2B+60%2Fr+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+%2B+60%2Fr+ ALIGN=MIDDLE  ALT=\"+2+%2B+60%2Fr+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60%2A%28+2+%2B+60%2Fr+%29+=+120+ ALIGN=MIDDLE  ALT=\"+60%2A%28+2+%2B+60%2Fr+%29+=+120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+%2B+60%2Fr+=+2+ ALIGN=MIDDLE  ALT=\"+2+%2B+60%2Fr+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60%2Fr+=+0+ ALIGN=MIDDLE  ALT=\"+60%2Fr+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+ ALIGN=MIDDLE  ALT=\"+r+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = infinity!<BR>\n" );
document.write( "There is no way you can average <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+ ALIGN=MIDDLE  ALT=\"+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "with the data given<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Suppose your speed for Fox - Nenana was<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+31+ ALIGN=MIDDLE  ALT=\"+31+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr instead of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30+ ALIGN=MIDDLE  ALT=\"+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+60%2F31+ ALIGN=MIDDLE  ALT=\"+t+=+60%2F31+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+1.9355+ ALIGN=MIDDLE  ALT=\"+t+=+1.9355+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Then you end up with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+=+120%2F%28+1.9355+%2B+60%2Fr+%29+ ALIGN=MIDDLE  ALT=\"+60+=+120%2F%28+1.9355+%2B+60%2Fr+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60%2A%28+1.9355+%2B+60%2Fr+%29+=+120+ ALIGN=MIDDLE  ALT=\"+60%2A%28+1.9355+%2B+60%2Fr+%29+=+120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.9355+%2B+60%2Fr+=+2+ ALIGN=MIDDLE  ALT=\"+1.9355+%2B+60%2Fr+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60%2Fr+=+.0645+ ALIGN=MIDDLE  ALT=\"+60%2Fr+=+.0645+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+60%2F.0645+ ALIGN=MIDDLE  ALT=\"+r+=+60%2F.0645+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+930.233+ ALIGN=MIDDLE  ALT=\"+r+=+930.233+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now your speed doesn't have to be infinite,<BR>\n" );
document.write( "but it is still impossible<BR>\n" );
document.write( "You have to make the trip back at<BR>\n" );
document.write( "something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+ ALIGN=MIDDLE  ALT=\"+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );