document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149667>Question 149667</A>: <I><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. What is the cyclist's average rate for the round trip in miles per hour? <BR>\n" );
document.write( "A. 8.1 <BR>\n" );
document.write( "B. 8.3 <BR>\n" );
document.write( "C. 8.6 <BR>\n" );
document.write( "D. 8.9 correct answer<BR>\n" );
document.write( "E. 9.0 \r<BR>\n" );
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document.write( "I can't figure this out. We have Rate1 x time1 = rate2 x time2, and I can't get anywhere with that. Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109800 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109800\">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. What is the cyclist's average rate for the round trip in miles per hour?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The total distanced traveled is 2x.<BR>\n" );
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document.write( "Now, you need the total time traveled.<BR>\n" );
document.write( "Applying:<BR>\n" );
document.write( "d = rt<BR>\n" );
document.write( "or, for us<BR>\n" );
document.write( "t = d/r<BR>\n" );
document.write( "where<BR>\n" );
document.write( "d is distance<BR>\n" );
document.write( "r is rate<BR>\n" );
document.write( "t is time<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Time going is<BR>\n" );
document.write( "x/10<BR>\n" );
document.write( "Time returning is<BR>\n" );
document.write( "x/8<BR>\n" );
document.write( "Total time is<BR>\n" );
document.write( "x/10 + x/8<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Average speed is<BR>\n" );
document.write( "\"total distance\"/\"total time\"<BR>\n" );
document.write( "2x/[x/10 + x/8]<BR>\n" );
document.write( "cancel out the x's:<BR>\n" );
document.write( "2/[1/10 + 1/8]<BR>\n" );
document.write( "= 2/[8/80 + 10/80]<BR>\n" );
document.write( "= 2/[18/80]<BR>\n" );
document.write( "= 160/[18]<BR>\n" );
document.write( "= 8.9 mph\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );