حَضَرَ الْمُدَرِّسُ وَتَكَلَّمَ الطَّالِبُ.
The teacher arrived, and a student spoke.
The two independent predications are coordinated. Compare:
حَضَرَ الْمُدَرِّسُ وَالطُّلَّابُ سَاكِتُونَ.
The teacher arrived while the students were silent.
When the latter sentence describes the circumstances of arrival, al-ṭullābu sākitūn is circumstantial, not simply another event in a sequence. The time-and-state relation, not the mere presence of wāw, establishes the analysis.