Libby Squire from Hull has not been seen since disappearing late last Thursday night, and emergency services, as well as a group of fellow students and friends, have been searching for her.
A 24-year-old man from Hull was arrested on suspicion of abduction at an address on Raglan Street. He is still in custody.
Police also recovered a car on Raglan Street which is currently forming just one part of the investigation.
Detective Superintendent Matt Hutchinson has released a statement this morning about the investigation into the disappearance of Libby.
Det Supt Hutchinson said: