Go here. Click on the berry you want to know about, and on each berries page will be it's growth time.
Beginning in this generation, Berries are typically grouped in "families". This is an unofficial term for a group of five Berries that have the same growth period and similar flavoring distributions (such as Razz, which is mostly spicy but somewhat dry, and Bluk, which is mostly dry but somewhat sweet).
So different berry families have different growth time.