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An airplane maintains a speed of 621 km/h relative to the air it is flying through as it makes a trip to a city 696 km away to the north. (a) What time interval is required for the trip if the plane flies through a headwind blowing at 32.7 km/h toward the south? (b) What time interval is required if there is a tailwind with the same speed? (c) What time interval is required if there is a crosswind blowing at 32.7 km/h to the east relative to the ground?

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