SOLUTION: when flying with the wind a paticular airplane travels at 430km/h. when flying against the wind the airplane can only travel at 270km/h. let the airplane's speedin still airbe Y ki

Algebra ->  Linear-equations -> SOLUTION: when flying with the wind a paticular airplane travels at 430km/h. when flying against the wind the airplane can only travel at 270km/h. let the airplane's speedin still airbe Y ki      Log On


   

Question 1011736: when flying with the wind a paticular airplane travels at 430km/h. when flying against the wind the airplane can only travel at 270km/h. let the airplane's speedin still airbe Y kilometers per hour and let the wind speed be X kilometers per hour
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Flying with the wind, the plane's speed is:
+Y+%2B+X+=+430+ km/hr
Flying against the wind, the plane's speed is:
+Y+-+X+=+270+ km/hr
----------------------
Add the equations
+Y+%2B+X+=+430+
+Y+-+X+=+270+
-----------------
+2Y+=+700+
+Y+=+350+
Plug this result back into either equation
+Y+-+X+=+270+
+350+-+X+=+270+
+X+=+350+-+270+
+X+=+80+
The plane's speed in still air is 350 km/hr
The wind speed is 80 km/hr