A plane is flying to a city 816 km directly north of its initial location. The plane maintains a speed of 163 km/h relative to the air during its flight.
(a) If the plane flies through a constant headwind blowing south at 58.5 km/h, how much time (in h) will it take to reach the city?
(b) If instead the plane flies through a constant tailwind blowing at 58.5 km/h, how much time (in h) will it take to reach the city?
(c) If instead the plane flies through a constant crosswind blowing east at 58.5 km/h, how much time (in h) will it take to reach the city?