Two trains are running with speeds of 40km/h and 50 km/h in opposite directions on parallel tracks.If their lengths are 400m and 500m,then time taken by them to cross each other is
Question
Two trains are running with speeds of 40km/h and 50 km/h in opposite directions on parallel tracks.If their lengths are 400m and 500m,then time taken by them to cross each other is
Solution
To solve this problem, we need to follow these steps:
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Convert the speeds from km/h to m/s. We do this by multiplying the speed by 5/18. So, the speeds of the trains in m/s are:
- Train 1: 40 km/h * 5/18 = 11.11 m/s
- Train 2: 50 km/h * 5/18 = 13.89 m/s
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Since the trains are moving in opposite directions, we add their speeds together. So, the relative speed of the trains is 11.11 m/s + 13.89 m/s = 25 m/s.
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The total distance to be covered is the sum of the lengths of the two trains, which is 400 m + 500 m = 900 m.
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The time taken to cross each other is the total distance divided by the relative speed. So, the time taken is 900 m / 25 m/s = 36 seconds.
Therefore, the two trains will take 36 seconds to cross each other.
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