If you're aerobically fit you can sustain a regular routine of exercise for 30-60 minutes with minimal fatigue.
If you are fit, it means that your body can handle a lot of exercise with minimal fatigue, because it is prepared due to constant exercise. It doesn't mean you can lift very heavy weights - you need a lot of body mass, muscles, and strength for that. It doesn't mean you can run a marathon and not feel tired at all - you will always feel at least a bit tired no matter how prepared you are. If you quit your normal exercise routine, there will be some consequences at least.