SOLUTION: A plane that travels 800 kilometers per hour in still air takes as long to fly 720 kilometers against the wind as it does to fly 880 kilometers with the wind. What is the speed of

Question 931444: A plane that travels 800 kilometers per hour in still air takes as long to fly 720 kilometers against the wind as it does to fly 880 kilometers with the wind. What is the speed of the wind?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = wind speed
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s = d/t
t = d/s
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against the wind:
t = 720/(800 - x)
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with the wind:
t = 880/(800 + x)
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equate times:
720/(800 - x) = 880/(800 + x)
720*(800 + x) = 880*(800 - x)
720*800 + 720x = 880*800 - 880x
720x + 880x = 880*800 - 720*800
(720 + 880)x = 880*800 - 720*800
x = (880*800 - 720*800)/(720 + 880)
x = 80
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answer:
wind speed = 80 kph
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