A thick steel slab (k = 50 W/m-K, P= 7800 kg/m^3, and c = 480 J/kg-K) is initially at 200C and is cooled by water jets impinging on one of its surfaces. The temperature of the water is 25C, and the jets maintain an extremely large, approximately uniform convection coefficient at the surface. Assuming that the surface is maintained at the temperature of the water throughout the cooling, how long will it take for the temperature to 50C at a distance of 25 mm from the surface?