SOLUTION: Against the wind a commercial airline in South America flew 360 miles in 3 hours. With a tailwind the return trip took 2.5hours. What was the speed of the plane in still&#

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Question 1098657: Against the wind a commercial airline in South America flew
360
miles in
3 hours. With a tailwind the return trip took
2.5hours. What was the speed of the plane in still​ air? What was the speed of the​ wind?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
             SPEED      TIME    DISTANCE
GOING        r-w         3       360
RETURN       r+w         2.5     360



-------solve this system.
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 wind speed
---------------------------------
Flying against the wind:
(1)
Flying with the wind:
(2)
-----------------------------
(1)
(2)
Multiply both sides of (1) by
and both sides of (2) by
Then add the equations
------------------------------------
(1)
(2)
------------------------------


and
(1)
(1)
(1)
(1)
(1)
----------------------------
The speed of the plane in still air is 132 mi/hr
The wind speed is 12 mi/hr
-----------------------------
check:
(2)
(2)
(2)
(2)
OK
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