At a research facility, three analysts—Emery, Kian, and Suri—are assigned to complete a data-cleaning project. Emery can complete the project alone in 15 days, Kian can do it alone in 10 days, and Suri can do it alone in 12 days. Emery and Kian work together for the first 3 days. After that, Suri joins them, and all three continue working together until the project is completed. For how many days does Suri work?