Two trains of lengths 156.62 and 100 meters are running on parallel lines with respective speeds of 30 km/hr and 36 km/hr.The time of crossing each other, if they run in the opposite direction is_________
Question
Two trains of lengths 156.62 and 100 meters are running on parallel lines with respective speeds of 30 km/hr and 36 km/hr.The time of crossing each other, if they run in the opposite direction is_________
Solution
To solve this problem, we first need to convert the speeds from km/hr to m/s because the lengths of the trains are given in meters.
1 km/hr = 5/18 m/s
So, the speed of the first train = 30 km/hr * 5/18 = 8.33 m/s And the speed of the second train = 36 km/hr * 5/18 = 10 m/s
When two objects are moving in opposite directions, their relative speed is the sum of their individual speeds.
So, the relative speed of the two trains = 8.33 m/s + 10 m/s = 18.33 m/s
The total distance to be covered is the sum of the lengths of the two trains, which is 156.62 m + 100 m = 256.62 m.
The time taken to cross each other is the total distance divided by the relative speed.
So, the time = 256.62 m / 18.33 m/s = 14 seconds (approximately)
Therefore, the two trains will cross each other in approximately 14 seconds if they run in the opposite direction.
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