  Recent advances in quantum resource theories have been driven by the fact
that many quantum information protocols make use of different facets of the
same physical features, e.g. entanglement, coherence, etc. Resource theories
formalise the role of these important physical features in a given protocol.
One question that remains open until now is: How quickly can a resource be
generated or degraded? Using the toolkit of quantum speed limits we construct
bounds on the minimum time required for a given resource to change by a fixed
increment, which might be thought of as the power of said resource, i.e., rate
of resource variation. We show that the derived bounds are tight by considering
several examples. Finally, we discuss some applications of our results, which
include bounds on thermodynamic power, generalised resource power, and
estimating the coupling strength with the environment.
