Inflate Rate | PuzzledQuant

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Ginni needs 120 minutes to inflate a bouncy castle on her own, and Sheryl needs 150 minutes on her own. They start inflating a castle together. After 45 minutes of teamwork, Elon joins in and helps as well. With all three working, the castle is fully inflated 13 minutes after Elon joined. Everyone works at a constant rate.

How many minutes would Elon need to inflate a castle on his own?