SOLUTION: An airplane travels 5005km against the wind in 7 hours and 5635km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the w

Question 496854: An airplane travels 5005km against the wind in 7 hours and 5635km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the wind speed
Let = the speed of the plane in still air
Against the wind, the plane's speed is
With the wind, the plane's speed is
given:
Equation against the wind:
(1)
With the wind:
(2)
This is 2 equations and 2 unknowns, so it's solvable
-----------------------
Add the equations
(1)
(2)

and, since
(1)
(1)
(1)
(1)
(1)
(1)
The plane's speed in still air is 760 km/hr
The wind speed is 45 km/hr
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