Select the correct answerTwo 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_________Options19 sec10 sec14 secnone
Question
Select the correct answerTwo 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_________Options19 sec10 sec14 secnone
Solution
To solve this problem, we first need to convert the speeds from km/hr to m/sec because the lengths of the trains are given in meters.
1 km/hr = 5/18 m/sec
So, the speed of the first train = 30 * 5/18 = 8.33 m/sec And the speed of the second train = 36 * 5/18 = 10 m/sec
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/sec + 10 m/sec = 18.33 m/sec
The total distance to be covered is the sum of the lengths of the two trains = 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/sec = 14 sec
Therefore, the correct answer is 14 sec.
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