Cook linguine according to package directions, adding snow peas and linguine at the same time.
Meanwhile, in a large skillet, cook carrots and mushrooms in oil over medium heat for 3 minutes. Add shrimp; cook and stir 3 minutes longer or until shrimp turns pink. Stir in peanut sauce; heat through.
Drain linguine and snow peas; transfer to a serving bowl. Top with shirmp mixture; toss to coat.