An airplane is making an endurance flight and is therefore flying constantly at the angle of minimum power required at which angle $C_L = 0.715$ and $C_{DT} = 0.060$. If the engine burns $0.5$ lb per hp per hour, if the propeller efficiency is $83\%$ and the wing area is $255$ sq. ft. How long may the flight be maintained if the aircraft take off with $6000$ lb gross weight of which $2000$ lb are fuel?