  Theory of stochastic processes provides theoretical tools which can be
efficiently used to explore properties of noise induced escape kinetics. Since
noise facilitated escape over the potential barrier resembles free climbing,
one can use the first passage time theory in analysis of rock climbing. We
perform the analysis of the mean first passage time in order to answer the
question regarding the optimal, i.e., resulting in the fastest climbing, rope
length. It is demonstrated that there is a discrete set of favorable rope
lengths assuring shortest climbing times, as they correspond to local minima of
mean first passage time. Within the set of favorable rope lengths there is the
optimal rope giving rise to the shortest climbing time. In particular, more
experienced climbers can decrease their climbing time by using longer ropes.
