document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252745>Question 252745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have one last problem that seems simple enough, but I can't come up with the answer that is given. Could you please show me what I'm missing here? The answer given is: 8.9 , I'm thinking 9 . The problem: 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?<BR>\n" );
document.write( "   Once again, thanks Daniel </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184824 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour.<BR>\n" );
document.write( " What is the cyclist's average rate for the round trip in miles per hour?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let r = the average rate for the round trip<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "time at 10mph  + time at 8 mph = round trip time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F10 ALIGN=MIDDLE  ALT=\"x%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F8 ALIGN=MIDDLE  ALT=\"x%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2Fr ALIGN=MIDDLE  ALT=\"2x%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply equation by 40r, eliminate all the denominators, results<BR>\n" );
document.write( "4rx + 5rx = 40(2x)<BR>\n" );
document.write( "4rx + 5rx = 80x<BR>\n" );
document.write( "9rx = 80x<BR>\n" );
document.write( "Divide both sides by x to eliminate it<BR>\n" );
document.write( "9r = 80<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2F9 ALIGN=MIDDLE  ALT=\"80%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 8.9 mph is the average for the round trip </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );