document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163973>Question 163973</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary needs to go to Jane’s house. Mary drives 4mph going uphill, goes 6mph on flat ground and goes 12mph downhill. It takes her 1 hour to do the trip. How far is Jane’s house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120829 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=120829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mary needs to go to Jane’s house. Mary drives 4 mph going uphill, goes 6 mph<BR>\n" );
document.write( "on flat ground and goes 12 mph downhill. It takes her 1 hour to do the trip.<BR>\n" );
document.write( " How far is Jane’s house?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = distance to house<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Divide the distance into 4 + 6 + 12 = 22 units<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The distance at each speed:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F22 ALIGN=MIDDLE  ALT=\"4%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .182d; distance at 4 mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F22 ALIGN=MIDDLE  ALT=\"6%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .273d; distance at 6 mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F22 ALIGN=MIDDLE  ALT=\"12%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .545d; distance at 12 mph<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation, Time = dist/speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.182d%29%2F4 ALIGN=MIDDLE  ALT=\"%28.182d%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.273d%29%2F6 ALIGN=MIDDLE  ALT=\"%28.273d%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.545d%29%2F12 ALIGN=MIDDLE  ALT=\"%28.545d%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Clear the denominator multiply equation 12<BR>\n" );
document.write( "3(.182d) + 2(.273d) + .545d = 12<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".546d + .546d + .545d = 12<BR>\n" );
document.write( ";<BR>\n" );
document.write( "1.64d = 12<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F1.64 ALIGN=MIDDLE  ALT=\"12%2F1.64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 7.3 miles<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Interesting that this is the same distance if you just averaged the 3 speeds<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F3 ALIGN=MIDDLE  ALT=\"22%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 7.33 mi; in 1 hr, the distance would 7.33 mi </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );