An airplane encountered a head wind during a flight between Joppetown and Jawsburgh which took 5 hours and 30 minutes. The return flight took 5hours. If the distance from Joppetown to Jawsburgh is 1600

​miles, find the airspeed of the plane​ (the speed of the plane in still​ air) and the speed of the​ wind, assuming both remain constant.

1 answer

Vp*t = 1600.
Vp*5 = 1600, Vp = 320 mi/h. in still air.

(Vp-Vw)*5.5 = 1600.
5.5Vp - 5.5Vw = 1600.
5.5*320 - 5.5Vw = 1600, Vw = ?.