$(10$ pts$.)$ The figure below shows a portion of the shockwave diagram created by an incident. In Region I, the volume is $800$ vehicles per hour and the density is $25$ vehicles per mile; in Region II$,$ the volume is $500$ vehicles per hour and the density is $100$ vehicles per mile; and in Region III, the volume is $1100$ vehicles per hour and the density is $70$ vehicles per mile. What are the speeds of shockwaves I$-1$I and II$-$III?