document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937753>Question 937753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cyclist has 5 and 1/4 hours to complete today´s training. How long can he ride away from his house if he plans to average 24 mph riding with the wind on the way out and 18 mph against the wind on the way back ? How far away from his house will he go ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #571177 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=571177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = time downwind<BR>\n" );
document.write( "y = time upwind<BR>\n" );
document.write( "x + y = 5.25<BR>\n" );
document.write( "---<BR>\n" );
document.write( "z = 1/2 the total distance of the training ride<BR>\n" );
document.write( "---<BR>\n" );
document.write( "s = d/t<BR>\n" );
document.write( "t = d/s<BR>\n" );
document.write( "---<BR>\n" );
document.write( "time downwind:<BR>\n" );
document.write( "x = z/24<BR>\n" );
document.write( "z = 24x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "time upwind:<BR>\n" );
document.write( "y = z/18<BR>\n" );
document.write( "z = 18y<BR>\n" );
document.write( "---<BR>\n" );
document.write( "equate z's:<BR>\n" );
document.write( "24x = 18y<BR>\n" );
document.write( "24x - 18y = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "linear system:<BR>\n" );
document.write( "x + y = 5.25<BR>\n" );
document.write( "24x - 18y = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "put the system of linear equations into standard form<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x + y = 5.25<BR>\n" );
document.write( "24x - 18y = 0<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "x = time downwind = 2.25<BR>\n" );
document.write( "y = time upwind = 3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "he will ride 2.25 hours on his out-bound leg ...<BR>\n" );
document.write( "z = 24x<BR>\n" );
document.write( "z = 24*2.25<BR>\n" );
document.write( "z = 54<BR>\n" );
document.write( "he will ride 54 miles downwind, at which point he must turn around and head back home<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );