Bird & Trains: Calculating Distance & Speed

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Two trains traveling towards each other at 34 km/h are 102 km apart when a bird flying at 58 km/h takes off from one train. The bird flies back and forth between the trains until they collide. To solve the problem, one must calculate the time until the trains meet, which is 1.5 hours, and then determine how far the bird travels in that time. The total distance the bird covers can be calculated by multiplying its speed by the time it flies. Engaging with the problem before seeking help is encouraged in the forum.
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using instantaneous vs. velocity/speed

Two trains, each having a speed of 34 km/h, are headed at each other on the same track. A bird that can fly 58 km/h flies off the front of one train when they are 102 km apart and heads directly for the other train. On reaching the other train it flies directly back to the first train, and so forth.

(a) How many trips can the bird make from one train to the other before they crash?

(b) what is the total distance traveled by the bird?

this is the image that i make...

http://www.soulroph.somee.com/trains[/URL] and bird.bmp[/PLAIN]

please help me to solve this kind of problem...

Thanks...
 
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