MHB Air Race from Metropolis to Aniba Gothic and Back

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In the air race from Metropolis to Aniba Gothic and back, the aircraft travels a distance D to the east. The speed of the aircraft is constant at v, and the impact of wind speed w is considered for both eastward and southward directions. For wind blowing to the east, the time required is calculated as 2D/(v^2 - w^2), while for wind blowing south, the time is 2D/√(v^2 - w^2). There is some confusion regarding the correct formulation of these equations, particularly for the eastward wind scenario. The discussion highlights the need for clarity in the calculations related to the influence of wind on flight time.
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3.82 in an air race, an aircraft flies from a point directly above Metropolis to a point directly city aniba Gothic, turn and return at starting point. The speed of the aircraft with respect to the air is constant in all the flight and equal to v. city is Gothic a distance D to the East of Metropolis. (Cuanto tiempo se requiere si sepla un viento con rapidez constante w b) to the East? (c) towards the South?

Answer b) \frac{2Dv}{v^2-w^2} I have no idea of this answer It should be 2d/v-w

c) \frac{2d}{\sqrt{v^2-w^2}}}
 
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in an air race, an aircraft flies from a point directly above Metropolis to a point directly on the top of Gothic city, turn and return at starting point. The speed of the aircraft with respect to the air is constant in all the flight and equal to v. city is Gothic a distance D to the East of Metropolis. (How much time is required if a wind blows at constant speed w b) to the East? (c) towards the South?

Answer b) \frac{2Dv}{v^2-w^2} I have no idea of this answer It should be 2d/v-w

c) \frac{2d}{\sqrt{v^2-w^2}}}
 
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