A & B are two rigidly attached gears of 30 Teeth and 40 Teeth forming a compound gear. The compound gear is driven by two horizontally moving racks: Rack D enmeshed with gear B and traveling to the left at 2.DDDDin/s and Rack E (rendered transparent to aid viewing) enmeshed with gear A and traveling to the right at D.DDDin/s. Determine the angular velocity of the compound gear AB and the linear velocity of Rack C enmeshed with the upper side of gear B. Consider the pitch radius of gear B to be 1".