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 the station ‘A’ will the trains meet?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 275 km
The distance between two stations, A and B, is 575 km.
Speed of train A = 50 km/h & Speed of train B = 60 km/h
Train A starts from station ‘A’ at 3:00 p.m. So, distance covered in 30 min = 25 km/h
Now, the total distance between train A and train B at 3:30 = 575 - 25 = 550 km
The trains will meet after = 550/(50 + 60) = 5 hours.
So, the distance from station A = 25 + 5 × 50 = 275 km