Final answer:
A clock runs at its fastest rate in empty space where there is no gravitational field.
Step-by-step explanation:
In a clock, time passes at different rates in different gravitational fields due to the effects of relativity. According to Einstein's theory of relativity, time runs slower in stronger gravitational fields. Therefore, a clock in a weaker gravitational field would run at a faster rate compared to a clock in a stronger gravitational field.
Given the options, a clock would run at its fastest rate in empty space. In empty space, there is no gravitational field, so the clock would not experience any time dilation and would run at the standard rate.