Train and bird

Two trains start from opposite directions and travel towards each other. The stations from which they start are 50 miles apart.

Both the train start at the same time on the same track.
A bird which is sitting on one train starts at the same time towards the other train, as soon as it reaches the second one, it flies back to the first train, so on and so forth.

It continues to do so flying backwards and forwards from one train to other until the trains meet.

Both the train travels at the speed of 25 miles / hour and the bird flies at the rate 100 miles/ hour.

How many miles would the bird have flown by the time the trains meet?

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