Follow these guidelines to obtain this achievement within the first half hour.
After escaping Helgen, you'll soon encounter your first 3 standing stones. Continue on to Riverwood and you'll notice a hammer and pickaxe icon on your compass, go there (but not inside just yet) so you can fast travel later on to this mine, 'Emberstream Mine'
Resume your first quest and after talking to Gerdur, you'll find yourself inside their house, free to take the food.
- Cooking: Pick up a leek, potato, cabbage and tomato (tomatoes are found in the house inside a barrel) Go to the cooking pot at the fire to create vegetable soup.
- Woodchopping: Go outside and head back to the spot where you first met Gerdur. You'll find both a woodcutter's axe and a chopping block in the vicinity.
- Mining: When you're done with chopping wood, head to the blacksmith and buy a pickaxe. Fast travel to the Emberstream Mine I told you to discover earlier and this time, head inside. Not too far in, the place isn't big anyway, you'll notice some big logs on your left side. An iron vein is directly right of those logs and directly left of the doorway you would take to continue, against the wall.
Mine it to receive iron ore and the achievement.