SOLUTION: A plane flew from Minneapolis to Atlanta, a distance of 900 miles, against a 30 mph-headwind. On the return
flight, the 30-mph wind became a tailwind. The plane was in the air f
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flight, the 30-mph wind became a tailwind. The plane was in the air f
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Question 1090623: A plane flew from Minneapolis to Atlanta, a distance of 900 miles, against a 30 mph-headwind. On the return
flight, the 30-mph wind became a tailwind. The plane was in the air for a total of 5 ½ hours. What would
the plane’s average speed have been without the wind?� Answer by jorel1380(3719) (Show Source):
You can put this solution on YOUR website! Let s be the speed of the plane in still air. Then:
900/s+30 + 900/s-30=5.5
900(s-30)+900(s+30)=5.5(s²-900)
1800s=5.5s²-4950
5.5s²-1800s-4950=0
11s²-3600s-9900=0
(11s+30)(s-330)=0
s=-30/11 or 330
We get a positive value of 330 for the speed of the plane in still air
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