A train starts from a station A and travels with constant speed up to $$100 \text{ km}$$. After some time, there appeared a problem in the engine and so the train proceeds with $$\frac{3}{4}$$ th of the original speed and arrives at Station B, late by 90 minutes. Had the problem in the engine occurred $$60 \text{ km}$$ further on, then the train would have reached 15 minutes sooner. Find the original speed of the train and distance between stations A and B.