Train X running at 50 km/h, leaves station a at 11 a.m., and train Y by running at 90 km on parallel tracks Leave station A at 3 p.m. on the same day and in the same direction. After what distance from station A will both the trains be together.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 450 Km.
Train X speed = 50 km/h
Train Y speed = 90 km/h
Train X leaves at 11 a.m.
Train Y leaves at 3 p.m.
Distance traveled by Train X = 50 km/h × 4 hours = 200 km
Relative speed = 90 km/h − 50 km/h = 40 km/h
Time = Distance / Relative speed = 200 km / 40 km/h = 5 hours
Distance traveled by Train Y = 90 km/h × 5 hours = 450 km
Distance traveled by Train X = 50 km/h × 5 hours = 250 km
Total distance from station A = 200 km + 250 km = 450 km