In fault-tolerant systems it is known to write data into two separate disk drives. It is also known to duplex computers so that when one computer fails, the other computer can continue operating. In such a system, the active unit usually controls both disk drives. It is also known to cache in the main memory of the computer the most recently used areas in the disk drive, since it is likely that these areas (e.g. directories) must be read again soon. A problem occurs when using duplexed computers each of which is to be provided with a possibility of using the disk drive (14, 24) while the operation is expedited by caching in the main memories of the computers (10, 20). If one computer modifies the data in the disk drive, the other computer is not necessarily aware of this, but it uses the outdated data in its memory. According to the invention, the computer (10) desiring to control the disk drive (14) reserves it for itself. If the reservation is successful, a disk task is performed. If the data in the disk drive (14) is changed, the other computer (20) is informed of this change and it erases from its memory the cached data corresponding to the changed data.