<image>A faster train travels from location A to location B, and a slower train travels from location B to location A, both departing at the same time$$.$$ Let the travel time of the slower train be $$x(h)$$, and the distance between the two trains be $$y(km)$$. The broken line in the diagram represents the functional relationship between $$y$$ and $$x$$.$$ Based on the given information, solve the following problems:  $$(1)$$ The distance between locations A and B is $$km$$; the real-world meaning of point $$C$$ in the diagram is: _ _ _ _ _ _ _ _ _ _ _ _ _; the speed of the slower train is _ _ _ _ _ _ _ , and the speed of the faster train is _ _ _ _ _ _ _ _ ; $$(2)$$ Find the functional relationship between $$y$$ and $$x$$ represented by line segment $$BC$$, as well as the range of the independent variable $$x$$; $$(3)$$ If a second faster train departs from location B to location A at the time when the first faster train meets the slower train, with the same speed as the first faster train$$.$$ Directly write out how long it takes for the second faster train to be $$200 km$$ apart from the slower train.