document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=424691>Question 424691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a cyclist traveled to her destination at an average rate of 15 mph. By traveling 3 mph faster, she took 30 minutes less to return. what distance did she travel each way? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295969 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=295969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a cyclist traveled to her destination at an average rate of 15 mph. By traveling 3 mph faster, she took 30 minutes less to return. what distance did she travel each way?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Slow speed DATA:<BR>\n" );
document.write( "rate = 15 mph; distance = x miles ; time = d/r = x/15 hrs<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Faster speed DATA:<BR>\n" );
document.write( "rate = 18 mph; distance = x miles ; time = x/18 hrs<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "slow time - faster time = 1/2 hr<BR>\n" );
document.write( "x/15 - x/18 = 1/2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Multiply thru by 90 to get:<BR>\n" );
document.write( "6x - 5x = 45<BR>\n" );
document.write( "x = 45 miles (distance she traveled each way)<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );