b. If, after the issuance of an order pursuant to subdivision a of
this section, but before the time fixed in such order for the completion
of the work prescribed therein, it shall appear to the petitioners that
the person permitted to do the same is not proceeding with due
diligence, the petitions may apply to the court on notice to those
persons who have appeared in the proceeding for a hearing to determine
whether judgment should be rendered immediately as provided in
subdivision c of this section.