document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=375190>Question 375190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jan can run 7.5 meters per second, Mary at 8.0 meters per second. On a race track Jan is given a 25 meter head start, the race ends in a tie. How long is the track? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #266808 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</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=266808\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jan can run 7.5 meters per second, Mary at 8.0 meters per second. On a race track Jan is given a 25 meter head start, the race ends in a tie. How long is the track?<BR>\n" );
document.write( "Jan 7.5 m/s<BR>\n" );
document.write( "Mary 8m/s<BR>\n" );
document.write( "..<BR>\n" );
document.write( "let the track distance = x<BR>\n" );
document.write( "Jan gets 25 m head start<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Time taken is the same<BR>\n" );
document.write( "..<BR>\n" );
document.write( "time = d/r<BR>\n" );
document.write( "(x-25)/7.5 = x/8<BR>\n" );
document.write( "(x-25)*8=7.5x<BR>\n" );
document.write( "8x-200=7.5x<BR>\n" );
document.write( "8x-7.5x=200<BR>\n" );
document.write( "0.5x=200<BR>\n" );
document.write( "x=200/0.5<BR>\n" );
document.write( "x=400 meters the track length<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );