Yes, a 1200-watt microwave generally cooks food faster than an 1100-watt microwave. The wattage of a microwave refers to its power output, and higher wattage means the microwave can generate more heat and cook food more quickly.
The cooking time can vary depending on the specific food being cooked, its quantity, and the desired level of doneness. However, all other factors being equal, a higher wattage microwave will generally cook food faster.
It's important to note that microwave cooking times can also be affected by factors such as the size and shape of the food, the type of container used, and the starting temperature of the food. Therefore, it's always recommended to follow the cooking instructions provided with the specific food or recipe to achieve the best results.