document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63394>Question 63394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A treasure is located at a point along a straight road with towns A, B, C and D on it in that order. A map gives the following instructions for locating the treasure: a) start at town A, and go 1/2 of the way to C. b) then go 1/3 of the way to D. c) then go 1/4 of the way to B, and dig for the treasure.  If AB= 6 miles, BC= 8 miles, and the treasure is buried midway between A and D, find the distance from C to D.  Can this be done? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44126 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=44126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A treasure is located at a point along a straight road with towns A, B, C and D on it in that order. A map gives the following instructions for locating the treasure: a) start at town A, and go 1/2 of the way to C. b) then go 1/3 of the way to D. c) then go 1/4 of the way to B, and dig for the treasure. If AB= 6 miles, BC= 8 miles, and the treasure is buried midway between A and D, find the distance from C to D. Can this be done?<BR>\n" );
document.write( "..AP=7 MILES........BP=1 MILE...SEE BELOW FOR CALCULATION<BR>\n" );
document.write( "A-------------------B--P------------R-----Q---C---------------------------D<BR>\n" );
document.write( "AB=6 MILES.............BC=8 MILES..............CD=X MILES SAY<BR>\n" );
document.write( "START FROM A...HALF WAY TO C SAY UP TO P...SO AP = (8+6)/2=7 MILES<BR>\n" );
document.write( "FROM P THEN 1/3 RD WAY TO D..THAT IS TO Q SAY ...PQ=PD/3 = (AD-AP)/3<BR>\n" );
document.write( "=(14+X-7)/3=(7+X)/3 <BR>\n" );
document.write( "FROM Q GO 1/4 WAY TO B SAY TO R THE TREASURE POSITION ..THAT IS QR = QB/4 <BR>\n" );
document.write( "= (AQ-AB)/4=[AP+PQ-AB]/4=[{7+(7+X)/3}-6]/4<BR>\n" );
document.write( "=(10+X)/12<BR>\n" );
document.write( "BUT THE TREASURE IS AT MIDWAY BETWEEN A TO D.......AR = (14+X)/2<BR>\n" );
document.write( "AR = AQ-QR=AP+PQ-QR=[7+{(7+X)/3}-(10+X)/12]=[84+28+4X-10-X]/12=(102+3X)/12=(34+X)/3<BR>\n" );
document.write( "(14+X)/2 = (34+X)/3<BR>\n" );
document.write( "28+2X=34+X<BR>\n" );
document.write( "X=6 =CD<BR>\n" );
document.write( "CD = 6 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );