(Solution Download) Line Segments

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 half of the way to C.


b)then go one-third of the way to D


c)then go one-fourth 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.


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