All the roads of a city are either perpendicular or parallel to one another. The roads are all straight. Roads A, B, C, D and E are parallel to one another. Roads F, G, H, I, J, K, L and M are parallel to one another.
Road A is 1 km East of road B.
Road B is 1/2 km West of road C.
Road D is 1 km West of road E.
Road G is 1/2 km South of road L.
Road I is 1 km North of road J.
Road K is 1/2 km North of road L.
Road K is 1 km South of road M.
Which of the following is necessarily true?
Step-by-step Solution:
The problem describes two independent sets of parallel roads.
A, B, C are fixed with respect to each other, and the relative positions of D, E are fixed. However, there is no information linking these two subgroups, so we cannot know the distance between a road from the first group (e.g., A) and a road from the second (e.g., D).L is 0.5 km North of G.K is 0.5 km North of L.M is 1 km North of K.0.5 km + 1 km = 1.5 km.
Final Answer: The correct option is D. M is 1.5 km North of L.