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The trains and the falcon

Two trains start towards each other from two stations SO miles apart, at the same time and on a single track. Just when the trains' start out, a falcon leaves the first train and flies directly to the other train, and as soon as it reaches the second train, the bird starts back towards the first train. It continues doing so, flying backwards and forwards from one train to the other until the trains meet.
Both the trains travel at a speed of 25 miles per hour, and the bird flies at 100 miles per hour.
How many miles will the falcon have flown before the trains met?
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Question Number : /20
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