Kittens and puppies play games. The kitten runs along the route A→B→C, and the puppy runs along the route A→B→C of two right angles of a right triangle. They set out at the same time and met at a distance of 6 meters from point C. It is known that the speed of a kitten is twice that of a puppy, and AB = 6 meters. How many meters did they run from the start to the meeting?