Just to be devil's advocate:
Time is not really not metric, either, to be absolutely fair. The 60/60/24 thing is mostly just a continuation of the sexagesimal system used by the Babylonians.
There are also plenty of instances in history where civilizations used a decimal system of timekeeping. Just a summary of the Wikipedia page on the matter below:
- Egypt: used in astronomy, the decade, equal to 10 days, with 36 decades per solar year, with an added 5 intercalary days at the end.
- China: the shi and ke, equal to 1/10 of a solar day & 1/100 solar day, respectively, though this has gone in and out of favor with and without modifications due to China having a long-ass (and thus varied) history.
- Revolutionary France: 10 days per week, 10 hours per day, 100 minutes per hour, 100 seconds per minute. (Although, to be fair, most common people ignored it and just used the sexagesimal time base they had always been used to. Lol.)
Alternatively, if you make the decimal second equal to 0.8640... SI seconds, then that would allow you to have 100 seconds per minute, 100 minutes per hour, 10 hours per day, and still have clocks align with the solar day.
Hell, even our definition of the second is merely the number of "pulses" (word used for brevity's sake) of the Cesium-133 atom that corresponds to how long our second is. In other words, our definition of the second isn't based on objective truth; we just found an objective way to define the system we already use. Lol.
Mind you, I'm merely playing devil's advocate here. As much as I love the SI, and the metric system in general (both modern and previous versions), and would not be opposed to switching to decimal time if mandated, I'm okay with the system we have now. I JUST FUCKING WISH WE ALL USED 24H FORMAT GODDAMMIT THE AMBIGUITY OF 12H TIME PISSES ME OFF JUST FUCKING WHY GODDAMN IT nearby explosive barrel explodes from proximity to blood vessels
tl'dr: Our conception of time as sexagesimal, and even based on the Cs-133 atom, is not quite as objectively based as one might be led to think. Also, fuck 12h time.
Edit: There are 36 "decades" per solar year, not 3. Lol.