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 #566776 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 1/3 of the total route distance, in km, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3d ALIGN=MIDDLE  ALT=\"3d\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the total route distance, in km.<BR>\n" );
document.write( "Average time for the whole route =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3d%2F24 ALIGN=MIDDLE  ALT=\"3d%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.<BR>\n" );
document.write( "The time spent cycling uphill was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F16 ALIGN=MIDDLE  ALT=\"d%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours, and<BR>\n" );
document.write( "the time spent cycling on level was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F24 ALIGN=MIDDLE  ALT=\"d%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.<BR>\n" );
document.write( "So, the time spent cycling downhill must have been<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3d%2F24-d%2F16-d%2F24=6d%2F48-3d%2F48-2d%2F48=%286d-3d-2d%29%2F48=d%2F48 ALIGN=MIDDLE  ALT=\"3d%2F24-d%2F16-d%2F24=6d%2F48-3d%2F48-2d%2F48=%286d-3d-2d%29%2F48=d%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.<BR>\n" );
document.write( "Then, the average speed in km/h cycling uphill for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" > km in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F48 ALIGN=MIDDLE  ALT=\"d%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours was<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F%22%28+d+%2F+48+%29%22=d%2848%2Fd%29=highlight%2848%29 ALIGN=MIDDLE  ALT=\"d%2F%22%28+d+%2F+48+%29%22=d%2848%2Fd%29=highlight%2848%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "CHECKING:<BR>\n" );
document.write( "Let's say that the total route is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2A3=144 ALIGN=MIDDLE  ALT=\"48%2A3=144\"   DISABLED_style= \"max-width:90%; height:auto;\" > km.<BR>\n" );
document.write( "That means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48 ALIGN=MIDDLE  ALT=\"48\"   DISABLED_style= \"max-width:90%; height:auto;\" > km cycling downhill, at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48 ALIGN=MIDDLE  ALT=\"48\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/h, during <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > hour,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48 ALIGN=MIDDLE  ALT=\"48\"   DISABLED_style= \"max-width:90%; height:auto;\" > km cycling on level ground, at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/h, during <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48 ALIGN=MIDDLE  ALT=\"48\"   DISABLED_style= \"max-width:90%; height:auto;\" > km cycling uphill, at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/h, during <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours,<BR>\n" );
document.write( "for a total of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2A3=144 ALIGN=MIDDLE  ALT=\"48%2A3=144\"   DISABLED_style= \"max-width:90%; height:auto;\" > km covered in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B2%2B3=6 ALIGN=MIDDLE  ALT=\"1%2B2%2B3=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours,<BR>\n" );
document.write( "at an average rate of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2A3%2F6=24 ALIGN=MIDDLE  ALT=\"48%2A3%2F6=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/h.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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