Question 883307: I am having some difficulty with this problem below and I could use assistance!
Flying against the wind, an airplane travels 6120 km in 9 hours. Flying with the wind, the same plane travels 2940 km in 3 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Flying against the wind, an airplane travels 6120 km in 9 hours. Flying with the wind, the same plane travels 2940 km in 3 hours. What is the rate of the plane in still air and what is the rate of the wind?
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rate against the wind = 6120/9 = 680 km/h
rate with the wind = 2940/3 = 980 km/h
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Equations:
p + w = 980
p - w = 680
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Add and solve for plane speed:
2p = 1660
p = 830 km/h (plane speed in still air)
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Solve for "w":
2w = 300
w = 150 km/h (speed of the wind)
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Cheers,
Stan H.
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