A plane is flying to a city 796 km directly north of its initial location. The plane maintains a speed of 203 km/h relative to the air during its flight.

Question

(a) If the plane flies through a constant headwind blowing south at 55.5 km/h, how much time (in h) will it take to reach the city?

______h

b) If instead the plane flies through a constant tailwind blowing at 55.5 km/h, how much time (in h) will it take to reach the city?

_______ h

c) If instead the plane flies through a constant crosswind blowing east at 55.5 km/h, how much time (in h) will it take to reach the city?

_______h

Answer 1

5 hours, 23 minutes and 48 seconds or 5.3966 hours to reach the city

going against the wind means traveling 203-55.5 = 147.5 km/hr

796/147.5 =about 5.4 hours

going with the wind means traveling 203+55.5 = 258.5 km/hr

796/258.5 = 3.079 hours = 3 hours, 4 minutes and 44 seconds to reach the city