That depends on several factors, but if you mean through exercise, well...that depends on several factors :-D
Essentially, the higher your heart rate during physical activity, the more calories you will burn. For example, sprinting 400 yards will burn more calories than jogging 400 yards. So how long it takes to burn the 600 calories will depend on how hard you are able/willing to work.
At a continuous, moderate running pace - assuming fairly average physical dimensions of the person - buring 600 calories should take about an hour.
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