Two trains start at same time from two stations towards each other at the speed of 12 km/hr and 15 km/hr . At the time of meeting the faster train covers 75 km more distance than other . Find the distance between two stations .

675 km

Let time of travelling be t hours 

Distance travelled by train with speed 12 km/hr = 12 × t = 12t 

Distance travelled by train with speed 15 km/hr = 15 × t = 15t 

According to question , 

Difference in distance travelled by two trains = 75 km 

15t - 12t = 75 

3t = 75     ⇒     t = 25 

Distance between two stations is = 12t + 15t = 27 × 25 = 675 km