The Trains and the Falcon

             Two trains start from two opposite directions towards each other. The stations from which they start are 50 miles apart. Both the trains start at the same time on a single track. A falcon which is sitting on one train, starts at the same time towards the other train, as soon as it reaches the second one, it files back to the first train and so on and so forth. It continues to do 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 before the trains met?

Answer:  The trains travel at 25 miles per hour. Therefore, they will meet after traveling for one hour and the falcon also must have been flying for one hour. Since it travels at 100 miles per hour, the bird must have flown 100 miles.