When you boil potatoes, will your cooking time be reduced with vigorously boiling water instead of gently

Question:

When you boil potatoes, will your cooking time be reduced with vigorously boiling water instead of gently boiling water? (Directions for cooking spaghetti call for vigorously boiling water-not to lessen cooking time but to prevent something else. If you don't know what it is, ask a cook.)