A train leaves A at 6 AM at 60 km/h. Another leaves B at 8 AM at 90 km/h toward A. Distance=540 km. Meeting time?
Show answer & explanation
Correct answer: B
Explanation
Given:
Speed of the first train = 60 km/h
Speed of the second train = 90 km/h
Total distance = 540 km
First train starts = 6 am
Second train starts = 8 am
First train left 2 hours ago
Distance in 2 hours = 60 × 2 = 120 km
Now remaining distance = 540 − 120 = 420 km
Relative speed = 60 + 90 = 150 km/h
Meeting time (after 8 am)
= 420 ÷ 150 = 2.8 hours = 2 hours 48 minutes
Total time = 8:00 + 2:48 = 10:48
The trains will meet at 10:48 am.