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.
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
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 opposite direction the relative speed will be the sum of both the speeds. When two trains move in the opposite direction with speeds x m/s and y m/s, respectively.
then the relative speed will be x + y.
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