Problems Involving Crossing Of Trains Moving In Same Direction
Problems Involving Crossing of Trains In Same Direction
In problem based on trains, the concept used is same as that of speed and time except the length of train is taken into account.
Train vs Moving object of Certain Length
Let us take the case of moving train crossing another moving train or an object of certain length. The total distance to be covered while crossing will be equal to the sum of the length of the two moving objects. Time taken by the train of length l meters to pass moving object of length a meters (such as another moving train) is equal to the time taken by the train to cover ( l + a) meters.
Now the two case arise:
1. The two objects moving in Same direction
2. The two objects moving in opposite direction
Case I : Crossing of Moving objects of Certain Length In Same direction:
As we know that when the two moving objects are crossing we will find the relative speed of the two objects. As the two moving objects are moving in the same direction the relative speed will be the difference of both the speeds. When two trains move in the same direction with speeds x m/s and y m/s, respectively.
When x > y. then the relative speed will be x - y,
but if y > x then the relative speed will be y-x.
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