Harry Potter in The Magical Maze
Path A leads to the Goblet in 5 minutes.
Path B leads back to start and takes 8 minutes.
Path C leads to Goblet in 3 minutes.
Path D is 2 minutes long and leads back to start.
Note --- The Magical Maze has affected Harry`s Memory so he does not remember which paths he had taken previously.
What is the Expected Escape Time (in seconds) in which Harry Potter can exit the maze and reach the Goblet?