document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=380317>Question 380317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem:\r<BR>\n" );
document.write( "\n" );
document.write( "A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour.  What is the cyclist's average rate for the round trip in miles per hour?  They say the answer is 8.9.  How did they get this?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #269914 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=269914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since (average rate) = (total distance)/(total time) we should find the total distance and time traveled.\r<BR>\n" );
document.write( "\n" );
document.write( "The cyclist bikes x both ways so (total distance) = 2x. Since the cyclist goes at 10 miles/hr, that means he takes x/10 hours going there, and x/8 hours going back. Therefore,\r<BR>\n" );
document.write( "\n" );
document.write( "(total distance)/(total time) = \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%2F%28x%2F10+%2B+x%2F8%29+=+%282x%29%2F%289x%2F40%29+=+80%2F9 ALIGN=MIDDLE  ALT=\"%282x%29%2F%28x%2F10+%2B+x%2F8%29+=+%282x%29%2F%289x%2F40%29+=+80%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles/hr (=8.8889 miles/hr) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );