SOLUTION: An Airplane travels 3865 km against the wind in 5 hours and 4565 km 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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An Airplane travels 3865 km against the wind in 5 hours and 4565 km 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      Log On


   

Question 1070027: An Airplane travels 3865 km against the wind in 5 hours and 4565 km 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?
Found 2 solutions by Alan3354, addingup:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the 2 groundspeeds, upwind and downwind.
The plane's airspeed is the average of the 2.
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Windspeed = difference between airspeed and groundspeed.
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PS Planes (and ships) don't use kms.
They use nautical miles and knots.

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time = Distance
5*R = 3865
R = 3865/5 = 773
Against the wind:
4565/5 = 913
Average: (773+913)/2 = 843
843-773 = 70 this is the wind speed
or you can do:
913-843 = 70 again, this is the wind speed
:
John