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Question

Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City​ B, a distance of 828 miles. On one particular​ trip, they fly into the​ wind, and the flight takes 2 hours. The return​ trip, with the wind behind​ them, only takes 1/ 1 2 hours. If the wind speed is the same on each​ trip, find the speed of the wind and find the speed of the plane in still air.

Answer 1

Let P = plane speed and W = wind speed

(P+W)(3/2)=828

(P-W)*2 = 828

P+W = 551

P-W=414

Add the 2 equations to get P and subtract them to get W!