It will take approximately 7–10 months. Please note that this is a rough estimate, as I don’t have detailed information about your daughter’s current level and learning pace.
She should begin with ESL to build a solid foundation. Once she reaches the pre-intermediate level, she can progress to PET and then FCE in that order. Since her goal is to achieve B1, we recommend setting her target at B2—one level higher—to ensure she comfortably meets the requirements.