SOLUTION: When a plane flies into the wind,it can travel 3000km in 6 hours.When it flies with the wind, it can travel the same distance in 5 hours.Find the rate of the plane in still air and

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Question 425710: When a plane flies into the wind,it can travel 3000km in 6 hours.When it flies with the wind, it can travel the same distance in 5 hours.Find the rate of the plane in still air and the rate of the wind.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
When a plane flies into the wind,it can travel 3000km in 6 hours.
rate = 3000/6 = 500 km/h
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When it flies with the wind, it can travel the same distance in 5 hours.
rate = 3000/5 = 600 km/h
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Find the rate of the plane in still air and the rate of the wind.
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Equations:
p + w = 600 km/h
p - w = 500 km/h
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Add and solve for "p":
2p = 1100
p = 550 km/h (rate of the planc in still air)
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Solve for "w";
p + w = 600
550 + w = 600
w = 50 km/h (rate of the wind)
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Cheers,
Stan H.
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