On a dual boot system, every time the system is booted back into Linux the...

The command that will correct the problem of the time being set backward by one day on a dual boot system is hwclock --systohc --localtime. This command will set the hardware clock (RTC) to the current system time and use the local time standard instead of UTC12. This will prevent the time inconsistency issue that occurs when dual booting Linux and Windows, as Windows assumes that the hardware clock is using local time while Linux assumes that it is using UTC34. By using the same time standard for both operating systems, the time will be displayed correctly on both Linux and Windows.

The other commands are either invalid or ineffective for solving the problem. The date -d '+ 1 day' command will display the date and time one day ahead of the current system time, but it will not change the system time or the hardware clock5. The ntpdate pool.ntp.org command will synchronize the system time with an NTP server, but it will not affect the hardware clock or the time standard6. The time hwclock command will measure the time taken by the hwclock command, which will display the hardware clock time, but it will not change anything7.

References: 1: hwclock(8) - Linux man page 2: How to Fix Windows and Linux Showing Different Times When Dual Booting 3: Dual-Booting Linux Messed Up Windows Time? Here’s How to Fix It 4: Wrong Time in Windows 10 After Dual Boot With Linux 5: date(1) - Linux man page 6: ntpdate(8) - Linux man page 7: time(1) - Linux man page