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Great question!

The governing equation,

$\frac{dT}{dt} = -k(T-T_A)$

is a math equation with no units. So, you can choose your own consistent set of units.

e.g.

variable measure option 1 option 2 option 3
T temperature K/C R/F R/F
t time s min hr
k cooling time constant 1/s 1/min 1/hr

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Answer selected by Shane-Hartunian
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