A train departs from Station P for Station Q at 9:00 AM, traveling at a speed of 60 km/h. Another train departs from Station Q for Station P at 11:00 AM traveling at a speed of 75 km/h. The distance between the two stations is 585 km. At what time will the two trains cross each other?
Show answer & explanation
Correct answer: B
Explanation
The first train travels for 2 hours, from 9:00 AM to 11:00 AM.
Distance covered during this time = 60 × 2 = 120 km
Remaining distance between the two trains = 585 − 120 = 465 km
Relative speed of the two trains = 60 + 75 = 135 km/h
Time taken to meet = 465/135 = 31/9 hours = 3 hours 26 minutes 40 seconds (approximately)
Therefore, the meeting time = 11:00 AM + 3 hours 26 minutes= Approximately 2:26 PM