(Very Long Question) A takes his dog for a walk. B is 1 kilometre away. They are walking towards each other at 3km/hr. The dog sees B and runs to B at 9km/hr. When he reaches B, it immediatly turns back to A, and runs back to B, etc. A and B are still walking at 3km/hr. When A and B are 1/5 km apart, the dog sees a kitty cat and goes to try and catch it at 12km/hr. When A and B meet, how many km has the dog ran?

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