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.
If K is parallel to I, K is 1/2 km South of J and 1 km North of G, then which of the following two roads would be 1/2 km apart?
Step-by-step Solution:
The best way to solve this is to build a simple map of the parallel roads' relative positions based on the given clues.
K is 1/2 km South of J. This means the distance between J and K is exactly 1/2 km.K is 1 km North of G.I is 1 km North of J.This logic results in the following map (from North to South):
(North)
^
|
I
|
1 km
|
J
|
0.5 km
|
K
|
1 km
|
G
|
v
(South)
Conclusion: The calculations and the visual map confirm that the pair of roads 1/2 km apart is J and K.
Final Answer: The correct option is D.