SOLUTION: An aeroplane is flying in the direction of air at the speed of 8km/hr, when it fly against the air direction its speed is 5km/hr, find the speed of air?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: An aeroplane is flying in the direction of air at the speed of 8km/hr, when it fly against the air direction its speed is 5km/hr, find the speed of air?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 537597: An aeroplane is flying in the direction of air at the speed of 8km/hr, when it fly against the air direction its speed is 5km/hr, find the speed of air?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let p = the speed of the plane
Let a = the speed of the wind
+p+%2B+a+ = speed flying with the wind
+p+-+a+ = speed flying into the wind
given:
+p+%2B+a+=+8+ km/hr
+p+-+a+=+5+ km/hr
-----------------
Add the equations
+2p+=+13+
+p+=+6.5+ km/hr
Plug this back into one of the equations
+6.5+%2B+a+=+8+
+a+=+1.5+
The air speed is 1.5 km/hr