The distance between two stations A and B is 575 km. A train starts from station ‘A’ at 3:00 p.m. and moves towards station ‘B’ at an average speed of 50 km/h. Another train starts from station ‘B’ at 3:30 p.m. and moves towards station ‘A’ at an average speed of 60 km/h. How far from station ‘A’ will the trains meet ?

Distance between stations = 575 km

Speed of train A = 50 km/hr

Distance covered by train A in (30 min = 1/2 hr) = time $$\times speed = 50 \times 1/2 = 25 km$$

Trains are running in opposite direction so,

Relative speed = 50 + 60 = 110 km/hr

Distance covered by both train = 575 - 25 = 550 km

Time taken by both trains to meet = 550/110 = 5 hr

Distance covered by train A in 5 hr =  5 $$\times 50 = 250 km$$

Distance covered by train A from station A = distance covered by train A in 30 min + distance covered by train A in 5 = 250 + 25 = 275 km 

$$\therefore$$275 km far from station ‘A’ will the trains meet.