A Snake in the Hole

A powerful, unvanquished, excellent black snake, 32 hastas in length, enters into a hole at the rate of \(7\dfrac{1}{2}\) angulas in \(\dfrac{5}{14}\) of a day, and in the course of \(\dfrac{1}{4}\) of a day its tail grows \(2\dfrac{3}{4}\) of an angula. Oh, ornament of arithmeticians, tell me by what time this serpent enters fully into the hole? [Note: 1 hasta = 24 angulas]

Ganita Sara Samgraha, Mahavira, 850

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