Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr, respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is?
- 9 s
- 9.6 s
- 10 s
- 10.8 s
Explanation
When the trains move in opposite directions, their relative speed is the sum of their individual speeds:
60 km/h + 40 km/h = 100 km/h
To convert this to meters per second, divide by 3600 (since there are 3600 seconds in an hour):
100 km/h ÷ 3600 = 27.78 m/s (approximately)
The total distance covered by the trains as they cross each other is the sum of their lengths:
140 m + 160 m = 300 m
Time = Distance ÷ Relative Speed
Time = 300 m ÷ 27.78 m/s ≈ 10.8 s
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