SOLUTION: An airplane took 2 hours to fly 600 km against a head wind. The return trip with the wind took 1 2/3. Fine the speed of the plane in still air. Thank YOU.

Question 862980: An airplane took 2 hours to fly 600 km against a head wind. The return trip with the wind took 1 2/3. Fine the speed of the plane in still air.
Thank YOU.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the plane in still air
Let = the speed of the wind
= the speed of the plane against the wind
= the speed of the plane with the wind
--------------------------------------------
Against the wind:
(1)
With the wind:
(2)
----------------------------
(1)
(1)
and
(2)
(2)
Add the equations
(1)
(2)
-------------------

The speed of the plane in still air is 330 km/hr
-----------------
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

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