You're right that your culture is fast paced and encourages people to do everything quickly.
Culture can contribute to stress and anxiety. By doing deep breathing and slowing the rate of your breathing you are already working on decreasing your anxiety.
Continuing to use relaxation techniques can help you to withstand the fast paced environment you find yourself in. Regular relaxation can help bring your anxiety level down and increase your resistance to stress.
Sometimes a fast pace can contribute to anxiety, but it can also help to keep you energized and motivated. Perhaps a fast pace can be manageable, as long as you have down time too. Making sure to schedule in time to relax and unwind, do things you enjoy, and have quiet time that is not rushed.
