Question 141075
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.
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Let plane in still air rate be "s" and wind rate be "w".
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EQUATIONS:
Against the wind : s - w = 3000/6 = 500
With the wind    : s + w = 3000/5 = 600

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Add the two equations to solve for "s":
2s = 1100
s  = 550 mph (plane speed is still wind)
550 + w = 600
w = 50 mph (wind speed)
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Cheers,
Stan H.