An airplane maintains a speed of 597 km/h relative to the air it is flying through as it makes a trip to a city 759 km away to the north.

(a) What time interval is required for the trip if the plane flies through a headwind blowing at 36.0 km/h toward the south?
1 h

(b) What time interval is required if there is a tailwind with the same speed?
2 h

(c) What time interval is required if there is a crosswind blowing at 36.0 km/h to the east relative to the ground?
3 h