A3-in-thick slab is 12 in wide and 15 ft long. thickness of the slab is reduced in three steps in a hot rolling operation. in each step, thickness is reduced by 20% and width increases by 3%. if the entry speed of the slab in the first step is 40 ft/min, and roll speed is the same for the three steps, determine (a) length and (b) exit velocity of the slab after the final reduction.