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S. Mikhelson Brooklyn Friends US, 2006-2007, Algebra II – S EXTRA CREDIT PROBLEM (September 12, 2006, homework 1) Name: _______________________________________________________________ Fly problem. (3) Two trains start towards each other at the same time from cities A and B. The distance between the cities is 300 miles. Train traveling from city A makes 40 miles per hour, the one going from city B makes 60 miles per hour. A fly takes off the train going from city A at the moment it starts the trip. The insect makes 70 miles per hour and flies until it meets the other train. Then it turns back and hurries with the same speed till it reaches the first train. After that it returns to the train going in the opposite direction. This process continues until the trains meet. How many miles will the poor fly cover by that moment?