Cook asparagus in a 6- to 8-quart pot of boiling well-salted water (
see Tips) until just tender, 4 to 6 minutes. Transfer with a slotted spoon to a large heatproof bowl, then add peas to boiling water and cook 2 minutes. Transfer peas with slotted spoon to bowl with asparagus, then add linguine to boiling water and cook until al dente.