The maximum distance between the two persons is 300 m/s * 6 s = 1800 m = 1.8 km.
The minimum distance between the two persons is 300 m/s * 5 s = 1500 m = 1.5 km.
Therefore, the correct answer is A.
Option B is incorrect because the maximum distance cannot be less than 1.8 km.
Option C is incorrect because the minimum distance cannot be greater than 1.8 km.
Option D is incorrect because the maximum distance cannot be less than 1.8 km and the minimum distance cannot be greater than 1.8 km.