An airplane maintains a speed of 573 km/h relative to the air it is flying through as it makes a trip to a city 689 km away to the north.
(a) What time interval is required for the trip if the plane flies through a headwind blowing at 38.1 km/h toward the south? h
(b) What time interval is required if there is a tailwind with the same speed? h
(c) What time interval is required if there is a crosswind blowing at 38.1 km/h to the east relative to the ground?