If a new road were built directly connecting I and J, and if all the direct ... ...

If a new road were built directly connecting I and J, and if all the direct connections between the towns were of equal distance, then in which one of the following pairs of towns is neither town on the shortest route connecting L and K?
(A) J, H
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Exercise (Paths and Flow Charts)