When things happen at the same time, they are said to coincide. Often, this is because they're intentionally coordinated — "the bake sale coincided with Parent Day" — but not always.
Coincide can also mean happen together in other ways. "My mother's views on appropriate teen fashion do not always coincide with mine" is a tactful way to say she hates your clothes. You could also describe two roads coming together as coinciding — though it's more poetic to talk about when they diverge.