document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160527>Question 1160527</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sheri travelled to her cottage and back home again. Her cottage is 90 km from her home.<BR>\n" );
document.write( "She averaged 20km/h faster on the trip there than the return trip. Determine Sheri’s average speed on<BR>\n" );
document.write( "the trip to the cottage if the total time there and back was 1.85 hours.\r<BR>\n" );
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document.write( "this is a rational assignment </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783833 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=783833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Elapsed time, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t\">, for a trip of distance <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large d\"> at an average rate of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\"> distance units per time units is given by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t\ =\ \frac{d}{r}\">\r<BR>\n" );
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document.write( "She traveled 90km at the rate requested by the question so the outbound trip took <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t_1\ =\ \frac{90}{r}\">.\r<BR>\n" );
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document.write( "The return trip was made at a rate 20 km/hr slower, hence the return trip time was: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t_2\ =\ \frac{90}{(r\,-\,20)}\">.\r<BR>\n" );
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document.write( "Since there weren't any side trips or any other anomalies, the total trip time was the sum of the time for the outbound trip and the time for the return trip, to wit:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ t_1\ +\ t_2\ =\ 1.85\ \ \">hours.\r<BR>\n" );
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document.write( "which is to say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{90}{r}\ +\ \frac{90}{(r\,-\,20)}\ =\ 1.85\ \ \">\r<BR>\n" );
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document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\"><BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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