New Potatoes and Sugar Snap Peas

1 pound new potatoes, unpeeled and scrubbed
1 teaspoon salt plus more to taste
2 cups sugar snap peas, strings removed
2 tablespoons butter
1/2 teaspoon ground black pepper plus more to taste
2 tablespoons chopped mint

Place potatoes in small saucepan and cover with water
Add salt and bring to boil
Cook over medium heat until potatoes are just tender, about 5-6 minutes
Add peas and cook 2 minutes more
Drain, add butter, pepper and mint
Heat for 1 minute and toss gently
Season to taste with salt and pepper