How long are the dwarves in the elf kings prison in mirkwood?

In J.R.R. Tolkien's "The Hobbit," the dwarves are imprisoned by the Elf King in Mirkwood for approximately three days. During this time, they are kept in cells and face the threat of being forgotten. Their escape is facilitated by the cleverness of Bilbo Baggins, who uses the invisibility of the One Ring to help them flee.