Depending on the cooking heat level, variety and size of potato you are using, the time taken to cook potato will vary enormously, from 20 to over 40 minutes. As a rough guide, about 1½ inch white potato cubes will take about 20 minutes at a gentle simmer, much longer in a lower temperature slow cooker.
One of the benefits of cooking vegetables in a liquid is that they will absorb some of this cooking liquid as they cook, and you can use this to your advantage in judging the "doneness" of your veg etc. For instance, as the colour of a white potato gets closer to the surrounding stock, this is a good indication that it is cooked.
So for best results, I would stagger the timings when adding ingredients to the pot, adding the toughest, longest cooking items first and the most fragile, quickly cooked ingredients last:
- Meat with bone in
- Tough root vegetables (e.g. carrots, swede, parsnip)
- Potatoes, onions etc.
- Shelled peas, individual sweetcorn pieces etc.
Depending on the cooking method, the size of the veg, the gap between adding each item may be as short as 20 minutes and as long as an hour or more. It is important to note that size will have a major bearing on cooking times as well, thickly sliced carrot will take longer to cook than finely chopped which will take longer than grated carrots.
So, as a general rule:
- Smaller pieces cook quicker, larger pieces cook longer
- Higher temperatures cook quicker, lower temperatures cook slower
- What is being cooked will differ considerably as well, sweet potato will cook differently from white potato for instance.