<image>As shown in the figure, it reflects the relationship between the distance traveled \(s\) ( kilometers) and the travel time \(t\) (hours) for two cyclists, A and B, during their training on the road. Based on the given graph, answer the following questions:
(I) After traveling how many kilometers did A surpass B?
(II) Write the functional relationship between cyclist A's traveled distance \(s\) and travel time \(t\) (\(t \geq 0\)).
(III) During which period of time is cyclist A's speed less than cyclist B's speed; during which period of time is cyclist A's speed greater than cyclist B's speed?