document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122643>Question 1122643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tortoise and a hare are competing in a 1200-meter race. The arrogant hare decides to let the tortoise have a 530-meter head start. When the start gun is fired the hare begins running at a constant speed of 9 meters per second and the tortoise begins crawling at a constant speed of 5 meters per second. \r<BR>\n" );
document.write( "\n" );
document.write( "a. Define a function f to represent the tortoise's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race.<BR>\n" );
document.write( "f(t)=\r<BR>\n" );
document.write( "\n" );
document.write( "b. solve f(t)=0 for t<BR>\n" );
document.write( "t=\r<BR>\n" );
document.write( "\n" );
document.write( "c. Define a function g to represent the hare's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race.<BR>\n" );
document.write( "g(t)=\r<BR>\n" );
document.write( "\n" );
document.write( "d. solve g(t)=0 for t<BR>\n" );
document.write( "t=\r<BR>\n" );
document.write( "\n" );
document.write( "e. who won the race  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738770 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738770\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tortoise has to go 670 m<BR>\n" );
document.write( "Does so at 5 m/sec os it will take 670/5=or 135 seconds to finish.<BR>\n" );
document.write( "Distance from finish line is g(t)=670-5t for any time t.\r<BR>\n" );
document.write( "\n" );
document.write( "For the hare, the distance from the finish is g(t)=1200-9t, for any time t<BR>\n" );
document.write( "It will take the hare 1200/9 or 133.3 seconds to finish and the hare will win.\r<BR>\n" );
document.write( "\n" );
document.write( "They meet at t where both equations are equal<BR>\n" );
document.write( "670-5t=1200-9t<BR>\n" );
document.write( "4t=530<BR>\n" );
document.write( "t=132.5 seconds, at which time the rabbit is 1200-9(132.5)=7.5 m from the end and the tortoise is 670-5t=7.5 m from the end. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );