document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885923>Question 885923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tight end can run the 100 yard dash in 20 seconds <BR>\n" );
document.write( "A defensive back can do it in 15 seconds <BR>\n" );
document.write( "The tight end catches a pass at his own 20 yard line with the defensive back at the 15 yard line.  <BR>\n" );
document.write( "If no other players are nearby, at what yard line will the defensive back catch up to the tight end? <BR>\n" );
document.write( "[hint: At time t=0, the defensive back is 5 yards behind the tight end.]<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535693 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=535693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A tight end can run the 100 yard dash in 20 seconds<BR>\n" );
document.write( "A defensive back can do it in 15 seconds<BR>\n" );
document.write( "The tight end catches a pass at his own 20 yard line with the defensive back at the 15 yard line.<BR>\n" );
document.write( "If no other players are nearby, at what yard line will the defensive back catch up to the tight end?<BR>\n" );
document.write( "[hint: At time t=0, the defensive back is 5 yards behind the tight end.]<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the speeds in yd/sec<BR>\n" );
document.write( "100/20 = 5 yd/sec<BR>\n" );
document.write( "100/15 = 6.67 yd/sec<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a distance equation; dist = speed * time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "When the back tackles the t.e, the back will travel 5 yds more than t.E<BR>\n" );
document.write( "6.67t = 5t + 5<BR>\n" );
document.write( "6.67t - 5t = 5<BR>\n" );
document.write( "1.67t = 5<BR>\n" );
document.write( "t = 5/1.67<BR>\n" );
document.write( "t = 3 sec<BR>\n" );
document.write( "Find how many yds the back travels in 3 sec<BR>\n" );
document.write( "3 * 6.67 = 20 yds<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "15 + 20 = 35 yd line, the back tackles the t.e </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );