The preferred response when needing to stop quickly on a motorcycle to avoid a crash is to apply both brakes smoothly and progressively. Using both brakes increases the stopping power and helps maintain stability while braking. It allows for a controlled and efficient reduction of speed, reducing the risk of skidding or losing control. This method exploits the full braking capacity of the motorcycle, ensuring it can decelerate effectively within the available distance, therefore minimizing the risk of a collision.