  We study finite-time collapsing limits of the continuity method. When the
continuity method starting from a rational initial K\"ahler metric on a
projective manifold encounters a finite-time volume collapsing, this projective
manifold admits a Fano fibration over a lower dimensional base. In this case,
we prove the continuity method converges to a singular K\"ahler metric on the
base in the weak sense; moreover, if the base is smooth and the fibration has
no singular fibers, then the convergence takes place in Gromov-Hausdorff
topology.
