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Bee and Velocity Question

Two trains 70 kilometers apart are traveling on the same track towards each other, Train A moves at 22 kilometers per hour east and train B moves at 13 kilometers per hour west. At the instant both trains begin moving, a bee begins flying from train A towards train B at 33 km/hour. The instant it touches B, it turns around and flies back. It goes on this way until the two trains collide and the bee is killed. What was the average velocity of the bee?

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