Soru

A Coast Guard search-and-rescue aircraft executes a mission over the ocean. It first flies directly to the designated search zone at an average speed of $180\text{ mph}$ for $1$ hour and $20$ minutes. Once inside the zone, it slows to a search speed of $120\text{ mph}$, flying a grid pattern for $2$ hours and $15$ minutes. After completing the grid, it returns to base along a direct route at $150\text{ mph}$ for $48$ minutes. What is the total distance flown by the aircraft during the entire mission, in miles?