A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes $3$ hours and $36$ minutes, but when there is a wind blowing from Penthaven to Jackson at $30$ miles per hour, the trip takes $3$ hours and $45$ minutes. How many miles is the distance from Penthaven to Jackson?
(Assume that the plane flies at a constant speed, and that the turnaround time is negligible.)