A train leaves a station traveling due east at 1:00 PM on Monday. It is traveling at 100 mph. At 2:00 PM in a station precisely 1,150 miles east, another train is leaving. This train is cooler than the first, so it gets to travel at 110 mph going due west on the same track as the first train. As soon as these trains run into each other, the explosion will instantaneously ignite the engine of a third train. This third train immediately accelerates to a constant speed of 50 mph. It is traveling at an exact 45 degree due north-west direction. After traveling 200 miles, it will instantly increase its speed to 60 mph. For four more iterations, every 100 miles, its speed raises by ten miles per hour, for a total distance of 500 miles. After this, the train immediately stops on the track and pauses for 30 minutes, then resumes, instantly accelerating to 25 mph. 100 miles later, the track ends, and the train falls for one minute before hitting the water and pushing a conveniently placed boat forward at a constant rate of 5 mph due north. After traveling for 20 miles, the boat docks, and the captain leaves the boat. He then runs for 25 minutes to the nearest airport. A half hour later, his plane accelerates down the runway and reached cruising altitude in 36 minutes, traveling at 300 mph. The plane is traveling due south and continues on this flight path for 3,450 miles. It then begins a 50-minute descent to the nearest airport, still traveling due south. Immediately upon landing, another plane leaves a different airport. Its speed constantly fluctuates between 10 mph and 500 mph, changing instantly every second. However, it still manages to travel exactly 175 mph. After 1575 miles due west, it turns to face due north. Simultaneously, another plane 4,956.25 miles north begins its flight due south traveling 150 mph. Upon colliding, a massive explosion of light gets sensed by a light sensor which happens to connect to the engine of a nearby train. This sensor causes the engine to start, and the train immediately begins its path due east at 75 mph. The sole passenger forgot to exit the train and is currently sleeping in the car directly behind the engine. After 15 minutes, another unmanned train sets off accidentally from its station traveling due west. At the time of its start, it is 175 miles from the other train. After continuing its path at 100 mph, the trains eventually collide. Just before the collision, the passenger awakes, sees the danger, and jumps out the window. As the trains collide, he lands inside another train traveling 50 mph due south-west. At the same, another train leaves a station 1,195 miles south, and 400 miles west of the first train. This train is traveling due north at 100 mph. It is so long that the last car is 105 miles behind the engine. A swimming pool can be filled by three water pipes, A, B and C. Pipe A alone can fill the pool in 8 hours. Pipe B alone can fill the pool in 10 hours, and pipe C can fill it in 12 hours. How long does it take to fill the swimming pool using all three pipes?

Love and Kisses,

Bat Boy