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Two trains travel towards each other one the same (straight) railroad track, beginning 100 miles apart. One train travels 45 miles per hour and the other travels 55 mph. A bird begins flight above the track at the same location as the slower train, flying at 70 mph. When the bird reaches the faster train, it instantly turns around and flies back to the faster train. The bird continues this back and forth pattern until the trains collide. a. How long before the trains collide? b. When they collide, how far will the bird have flown? be sure to show all work
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