document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=706091>Question 706091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cyclist does an out-and-back summit ride. The cyclist averaged 10 mph on the way out and 20 mph on the way back. What was the cyclists average speed for the entire ride?\r<BR>\n" );
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document.write( "A cyclist is on an out-and-back summit ride. The cyclist averaged 10 mph on the way out and wants to average 20 mph for the entire ride. What speed must the cyclist average on the way back to reach this goal?\r<BR>\n" );
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document.write( "*I would love to get a detailed answered. I'm very confused by these problems and can't seem to get them right* </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #434971 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39633)</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=434971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Explaining this seems hard, but I am able, with thought, to SEE how to handle the first part.\r<BR>\n" );
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document.write( "First, we do not have specific facts on the time or distance, but we know that way-out and way-back are equal distances.  Average speed will be total distance divided by sum of time for the whole trip, out and back.\r<BR>\n" );
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document.write( "Trip Part__________speed_____________time_____________distance<BR>\n" );
document.write( "way out____________10________________d/10_____________d<BR>\n" );
document.write( "way back___________20________________d/20_____________d\r<BR>\n" );
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document.write( "total distance = 2d<BR>\n" );
document.write( "total time = d/10 + d/20\r<BR>\n" );
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document.write( "Average Speed Entire Trip = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2d%2F%28%28d%2F10%29%2B%28d%2F20%29%29 ALIGN=MIDDLE  ALT=\"2d%2F%28%28d%2F10%29%2B%28d%2F20%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do the Arithmetic, algebraic steps. </SPAN>\n" );
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