Suppose that a steel of eutectoid composition is cooled to $675^{\circ} \mathrm{C}\left(1250^{\circ} \mathrm{F}\right)$ from $760^{\circ} \mathrm{C}\left(1400^{\circ} \mathrm{F}\right)$ in less than $0.5 \mathrm{~s}$ and held at this temperature.
(a) How long will it take for the austenite-topearlite reaction to go to $50 \%$ completion? To $100 \%$ completion?
(b) Estimate the hardness of the alloy that has completely transformed to pearlite.