1. A method for Fast Backup Storage and fast Recovery of Data (FBSRD) operating both separately and simultaneously in a first storage mode and in a second recovery mode in a computing facility, which includes: a network for communication, at least one computer, coupled to the network, for operation by a user and for managing user data, and a primary storage coupled to the at least one computer and configured as a first data storage memory for storing therein data managed by the at least one computer, the method comprising the steps of: coupling a Backup Appliance computer BA to the network, where the BA is a computer with an operating system having a file-system, providing a repository coupled to the BA, and configured as a second data storage memory, and operating FBSRD by running a Backup Computer Program in association with the at least one computer and with the BA, including: in storage mode: retrieving data out of primary storage for back-up, by taking snapshots of data at predetermined successive time intervals, saving the retrieved data into repository in block format, and in recovery mode: recovering backed-up data out of the repository for use by the at least one computer only, and recovering data into primary storage in either one of both block format and file format.