document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147421>Question 1147421</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You biked uphill for 3.5 hours.  The return trip took 2.5 hours because you traveled 2mph faster.  How far did you travel downhill? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #768749 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=768749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a different way to get to the answer -- much faster than with the traditional algebraic methods shown by the other tutors.<br><BR>\n" );
document.write( "The distances uphill and downhill are the same; since the ratio of the times is 3.5:2.5 = 7:5, the ratio of speeds is 5:7.<br><BR>\n" );
document.write( "But 7mph is 2mph faster than 5mph; so the two speeds are 5mph and 7mph.<br><BR>\n" );
document.write( "5mph times 3.5 hours equals 17.5 miles; or 7mph times 2.5mph equals 17.5 miles.<br<BR>\n" );
document.write( "ANSWER: 17.5 miles </SPAN>\n" );
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