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**I'm stuck.... help someone!!**

here is the problem:

Two trains are travelling on the same track. One is going West at 25 km/h and the other is going East at 30 km/h. When they are 100 km apart an eagle takes off from the first train and flies at 50 km/h towards the other train. On reaching the other train it reverses direction and goes off to the first train, and keeps on flying between the two.

Assuming that the eagle takes no time in reversing direction and that its speed remains constant calculate :

i) the distance travelled by the eagle until the two trains collide.

ii) the number of time the eagle touches the two trains

p.s:I tried my hand on the problem but didn't succeed.All I can conclude from my calculations is that the process is never ending and a an infinite series is formed by the distance travelled by the eagle everytime it flies from one train to another.I know the answer to the first part will be finite but I can not really find a method to sum all the terms of the sequence bcoz it's not a normal AP or GP.Someone help me please!!!