document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933374>Question 933374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a cyclist rides her bike over a route that is 1/3 uphill, 1/3 level, and 1/3 downhill. If she covers the uphill part of the route at a rate of 16 km/h, and the level part at a rate of 24 km/h, what rate would she have to travel during the downhill part of the route in order to average 24 km/h for the entire route?\r<BR>\n" );
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document.write( "(ANS: 48km/h) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566769 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=566769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> RT=D, T=D/R.\r<BR>\n" );
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document.write( "__________________rate__________time__________distance<BR>\n" );
document.write( "UP________________16____________(___)__________d/3<BR>\n" );
document.write( "LEV_______________24___________(____)__________d/3<BR>\n" );
document.write( "DWN_______________(___)________(____)__________d/3<BR>\n" );
document.write( "Total__________________________(____)__________d\r<BR>\n" );
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document.write( "__________________rate__________time__________distance<BR>\n" );
document.write( "UP________________16____________(d/(3*16))__________d/3<BR>\n" );
document.write( "LEV_______________24___________(d/(3*24))__________d/3<BR>\n" );
document.write( "DWN_______________(r)________(d/(3r))__________d/3<BR>\n" );
document.write( "Total__________________________(____)__________d\r<BR>\n" );
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document.write( "The total time would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%281%2F%283%2A16%29%2B1%2F%283%2A24%29%2B1%2F%283r%29%29 ALIGN=MIDDLE  ALT=\"d%281%2F%283%2A16%29%2B1%2F%283%2A24%29%2B1%2F%283r%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; which needs simplification before comfortably using this expression.  The AVERAGE speed would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F%28d%281%2F%283%2A16%29%2B1%2F%283%2A24%29%2B1%2F%283r%29%29%29 ALIGN=MIDDLE  ALT=\"d%2F%28d%281%2F%283%2A16%29%2B1%2F%283%2A24%29%2B1%2F%283r%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%281%2F%283%2A16%29%2B1%2F%283%2A24%29%2B1%2F%283r%29%29=24 ALIGN=MIDDLE  ALT=\"1%2F%281%2F%283%2A16%29%2B1%2F%283%2A24%29%2B1%2F%283r%29%29=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "LCD is 3*2*2*2*2, 3*2*2*2*3, 3*r,------<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283%2A3%2A2%2A2%2A2%2A2%2Ar%29 ALIGN=MIDDLE  ALT=\"highlight_green%283%2A3%2A2%2A2%2A2%2A2%2Ar%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
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document.write( "Another way to continue is use reciprocals of both members.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%283%2A16%29%2B1%2F%283%2A24%29%2B1%2F%283r%29=1%2F24 ALIGN=MIDDLE  ALT=\"1%2F%283%2A16%29%2B1%2F%283%2A24%29%2B1%2F%283r%29=1%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now multiply both members by LCD.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5E2%2A2%5E4%2Ar%29%281%2F%283%2A16%29%2B1%2F%283%2A24%29%2B1%2F%283r%29%29=144r%2F24 ALIGN=MIDDLE  ALT=\"%283%5E2%2A2%5E4%2Ar%29%281%2F%283%2A16%29%2B1%2F%283%2A24%29%2B1%2F%283r%29%29=144r%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3r%2B2r%2B48=6r ALIGN=MIDDLE  ALT=\"3r%2B2r%2B48=6r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5r%2B48=6r ALIGN=MIDDLE  ALT=\"5r%2B48=6r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=48%29 ALIGN=MIDDLE  ALT=\"highlight%28r=48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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