A road network has parallel roads, which are equidistant from each other and running North-South or East-West only. The road junctions A, B, C, H and X are such that A is East of B and West of C. H is South-West of C and South-East of B. B is South-East of X. Which of the junctions are the farthest South and the farthest East?
Let B = (0,0).
A is east of B ⇒ A at (1,0). A is west of C ⇒ C at (2,0) (or further east).
H is south-west of C and south-east of B ⇒ H must be between B and C in x and south in y, e.g. H = (1, −1).
B is south-east of X ⇒ X is north-west of B, e.g. X = (−1, 1).
Y (north) values: H has the smallest y (−1) ⇒ farthest South = H. X values: C has the largest x (2) ⇒ farthest East = C.
Explanation: Setting a simple grid that satisfies all relative directions shows H lies below all junctions (most southern) and C lies furthest to the right (most eastern).
Final Answer: H, C.
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