document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=317833>Question 317833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cyclist travels 54 miles in 6 hours going against the wind and 52 miles in 4 hours with the wind. What is the rate of the cyclist in still air and what is the rate of the wind?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227615 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16949)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=227615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let speed of cycle be x in still air<BR>\n" );
document.write( "speed of wind =y<BR>\n" );
document.write( "..<BR>\n" );
document.write( "6(x-y)=54<BR>\n" );
document.write( "4(x+y)52<BR>\n" );
document.write( "..<BR>\n" );
document.write( "6x-6y=54<BR>\n" );
document.write( "x-y=9<BR>\n" );
document.write( "4x+4y=52<BR>\n" );
document.write( "x+y=13<BR>\n" );
document.write( "..<BR>\n" );
document.write( "add the two equations<BR>\n" );
document.write( "x-y+x+y=22<BR>\n" );
document.write( "2x=22<BR>\n" );
document.write( "x=11 mph. speed of cycle<BR>\n" );
document.write( "x-y=9<BR>\n" );
document.write( "11-y=9<BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "speed of wind = 2 mph<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );