Answer
(a) $39,616$
(b)$62.9\ mi$, yes.
Work Step by Step
(a) Assume the number of rotations of a tire in 1 hr is $n$, as we know the car will travel $55 miles =55\times5280\times12\ in$, we have $14\times n\times2\pi=55\times5280\times12$, thus $n\approx39,616$
(b) In this case, the number of turns is $n=39,616$ and the total distance is given by $L=16\times39,616\times2\pi\approx3982634.7\ in \approx62.9\ mi$ in one hours, which means he deserves a speeding ticket.
