"Steps on it" is a phrase that means to speed up or hurry. Some synonyms for this phrase include "accelerate," "floor it," "put the pedal to the metal," "rush," "hurry," "hasten," "quickly advance," "speed up," "press on," "move fast," and "push the gas." Each of these phrases indicates a need for urgency and increasing speed. Whether the situation is a car chase or an important task at work, using one of these synonyms for "steps on it" will help convey the necessary sense of urgency.