Quote Originally Posted by Platypus
If it normally doesn't stay on long enough to get into the BIOS setup screen, then probably a faulty PSU, or faulty/unseated memory would be my first thoughts.

Quoted for truth.

Took me 3 weeks to properly diagnose a similar case on my personal PC, since it was often booting into Windows before rebooting and was letting out a clicking sound very similar to the one hard drives make when failing.

PSU was it in this case, and as it progressively grew worse it shortened the length of operational time to the point where it was doing exactly what you report here.