SOLUTION: A plane averaged 158 km/h. On the returned trip the plane only averaged 112 km/h. While flying back into the same wind, find the speed of the wind and of the plane in still air.

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Question 309424: A plane averaged 158 km/h. On the returned trip the plane only averaged 112 km/h. While flying back into the same wind, find the speed of the wind and of the plane in still air.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A plane averaged 158 km/h. On the returned trip the plane only averaged 112 km/h.
While flying back into the same wind,
find the speed of the wind and of the plane in still air.
:
Let s = speed of the plane in still air
Let w = speed of the wind
From the given information we can write two equation
s + w = 158
s - w = 112
-------------Addition eliminates w, find s
2s = 270
s = 135 km/hr in still air
Find w
135 + w = 158
w = 158 - 135
w = 23 km/hr is the wind
:
Check in "against the wind" equation
135 - 23 = 112