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anonymous
 one year ago
Flying against the wind, an airplane travels
6840km
in
9
hours. Flying with the wind, the same plane travels
3000km
in
3
hours. What is the rate of the plane in still air and what is the rate of the wind?
anonymous
 one year ago
Flying against the wind, an airplane travels 6840km in 9 hours. Flying with the wind, the same plane travels 3000km 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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you understand what rate means? HINT: The plane's airspeed is the average.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The wind speed is the difference

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.0If we let \(w_p\) be the speed of the airplane in still air, and \(w_s\) be the speed of the wind, then we can figure this out with the rate equation: \[d = s t\] Flying against the wind, we have \[6840 \text{ km} = (w_pw_s)(9\text{ hours})\]Flying with the wind, we have \[3000\text{ km} = (w_p+w_s)(3\text{ hours})\]For clarity, we can drop the units (remembering that we are doing everything in km/hr): \[6840 = 9(w_pw_s)\]\[3000=3(w_p+w_s)\]expanding to \[6840=9w_p9w_s\]\[3000=3w_p+3w_s\]which is a system of two equations in two unknowns, easily solved for the speed of the plane and the wind.
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