Compute all given parts of following problem:

Problem: An airplane maintains a speed of 645 km/h relative to the air it is flying through as it makes a trip to a city 745 km away to the north. (Assume north is the positive y-direction and east is the positive x-direction.)

Part A: What time interval is required for the trip if the plane flies through a headwind blowing at 32.1 km/h toward the south?

h

Part B: What time interval is required if there is a tailwind with the same speed?

h

PArt C: What time interval is required if there is a crosswind blowing at 32.1 km/h to the east relative to the ground?

h

Please explain how you got the numbers and calculations. Thanks.