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It can be kind of confusing since seconds are part of SI, but hours and minutes are not. So you are kind of mixing frogs with oranges here. Even with metric units it's not always linear and intuitive. Take for example decibel scale which is logarithmic, which is something that throws people off. Same with Richter scale. Having earthquake at scale of 3 is not half the strength of 6. It's thousand times weaker than 6.
So in short, time keeping is done for convenience sake because 60 is divisible by a lot of numbers many times over. It can throw you off a bit if you are converting from metric to time format but there's a simple formula for that and with some training you can do the calculation in your head. It's a matter of practice.