Cook rice noodles according to package directions, drain, and set aside.
Heat oil in a large wok or skillet over high heat and cook shrimp until pink, about 4 minutes, then push to the side.
Add julienned carrots to the pan and stir-fry for 2 minutes, then add noodles and pad thai sauce, tossing to combine for 2 minutes.
Fold in bean sprouts and remove from heat, then serve topped with peanuts and a squeeze of fresh lime.