document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=900265>Question 900265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man and his dog running on a straight beach.at a given point in time the dog is 12m from his owner who starting in a direction perpendicular to the beach with a certain constant speed. the dog runs twice as fast and always to wards his owner where do the man and his dog meet? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #546046 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=546046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a man and his dog running on a straight beach.at a given point in time the dog is 12m from his owner who starting in a direction perpendicular to the beach with a certain constant speed.<BR>\n" );
document.write( " the dog runs twice as fast and always to wards his owner where do the man and his dog meet?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "speed and distance vary directly<BR>\n" );
document.write( "let d = distance the man travels from the beach,when the dog reaches him<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2d = distance run by the dog<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Actually the dog would probably run a curved path looking at the owner as he ran.<BR>\n" );
document.write( "We will assume the dog ran to a point where the man is, a pythag problem<BR>\n" );
document.write( "a^2 + b^2 = c^2, where<BR>\n" );
document.write( "a = d<BR>\n" );
document.write( "b = 12<BR>\n" );
document.write( "c = 2d<BR>\n" );
document.write( "d^2 + 12^2 = (2d)^2<BR>\n" );
document.write( "d^2 + 144 = 4d^2<BR>\n" );
document.write( "144 = 4d^2 - d^2<BR>\n" );
document.write( "144 = 3d^2<BR>\n" );
document.write( "d^2 = 144/3<BR>\n" );
document.write( "d^2 = 48<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2848%29 ALIGN=MIDDLE  ALT=\"sqrt%2848%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%283%29 ALIGN=MIDDLE  ALT=\"4sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or about 6.93 meters<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );