Question 1138478
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(1)  From the condition, the segments CX and DX have the same length 

        (thanks to the dogs, who proved it by covering these distances at the same time, running with the same rate).



(2)  The right angled triangles CAX and DBX have pairs of congruent angles 

         C ~ DXB  and  D ~ CXA.


     Hence, the triangles CAX and DBX are congruent.



(3)  It implies that corresponding sides of these triangles are congruent:

        |AX| = |BD| = 40 yd;   |BX| = |AC| = 60 yd.



<U>ANSWER</U>.  |AX| = 40 yd;   |BX| = 60 yd.


<U>CHECK</U>.   |AX| + |BX| = 40 + 60 = 100,  in accordance with the figure.
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Solved.