Hi, I am a dedicated ROR developer with an experience of 4+ years. I have gone through your project description and can complete the job in 5 days.
Since the project needs number of things to implement I have estimated for 5 days, but we can have a small meeting and can discuss the things further which might help to cut down the number of days.
I have worked on ruby 1.9, ruby 2.0, Rails3 d and Rails 4, backed up with the PostgresSQL/MySql databases.
I have used Bootstrap for creating the responsive design which looks goon on both laptops and mobile.