Why warm up at all?
Speaking for hours is physical work, and a cold start is where strain begins. Warming up moves breath, throat and tongue through their range gently before the day asks them to do it at volume — the same reasoning as any other warmup, applied to muscles most people never think about.
It is most worth it for the people least likely to do it: teachers, lecturers, call handlers, clinicians and performers, who tend to notice their voice only once it is already tired.
How long does it need to be?
Less than people expect. A minute of focused work is genuinely useful, and a short warmup done daily beats a long one done occasionally — the same pattern that holds across voice practice generally.
What if my voice is already tired or hoarse?
Warming up is not a fix for a voice that is already in trouble. Hoarseness lasting more than about three weeks, pain on speaking, or a voice that keeps giving out are reasons to see a doctor or a speech and language therapist rather than to practise harder.