document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=766839>Question 766839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During my trip to work, I spent 3/4 of the time driving on the highway, during which I covered 5/6 of the distance. My average speed on the highway was 60 miles per hour. What are the possible values of my average speed, in miles per hour, during the time I was not on the highway? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467280 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> h is total time<BR>\n" );
document.write( "d is total distance\r<BR>\n" );
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document.write( "ROAD______________speed_______time___________distance<BR>\n" );
document.write( "Highway___________60_________(3/4)h_________(5/6)d<BR>\n" );
document.write( "NonHighway________(___)______(1/4)h_________(1/6)d\r<BR>\n" );
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document.write( "ROAD______________speed_______time___________distance<BR>\n" );
document.write( "Highway___________60_________(3/4)h_________(5/6)d<BR>\n" );
document.write( "NonHighway________(r)______(1/4)h_________(1/6)d\r<BR>\n" );
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document.write( "Try making two equations using rate times time equals distance:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2A%283%2F4%29h=%285%2F6%29d ALIGN=MIDDLE  ALT=\"60%2A%283%2F4%29h=%285%2F6%29d\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%281%2F4%29h=%281%2F6%29d ALIGN=MIDDLE  ALT=\"r%281%2F4%29h=%281%2F6%29d\"   DISABLED_style= \"max-width:90%; height:auto;\" >; this last equation gives an expression for unknown r.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fh%29%284%29%281%2F6%29=r ALIGN=MIDDLE  ALT=\"%28d%2Fh%29%284%29%281%2F6%29=r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=%282%2F3%29%28d%2Fh%29 ALIGN=MIDDLE  ALT=\"r=%282%2F3%29%28d%2Fh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But we still have three variables and two equations, just one is rearranged.  \r<BR>\n" );
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document.write( "This seems an open-ended problem.  Use the highway equation to eliminate either the h or the d in the r equation.  You might want to pick an arbitrary value for h or d.\r<BR>\n" );
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document.write( "Work with the highway equation....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=54%2Ah ALIGN=MIDDLE  ALT=\"d=54%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So you can form the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=%282%2F3%29%2854h%2Fh%29 ALIGN=MIDDLE  ALT=\"r=%282%2F3%29%2854h%2Fh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=%282%2F3%29%2A54 ALIGN=MIDDLE  ALT=\"r=%282%2F3%29%2A54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=36 ALIGN=MIDDLE  ALT=\"r=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "No longer seems so open-ended.  Solution method felt strange, but result is very clear.\r<BR>\n" );
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document.write( "With that result r=36 mph, you can evaluate possible averages of highway and nonhighway speeds. </SPAN>\n" );
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