SOLUTION: An airplane flies 1,050 km with the wind. In the same amount of time, it can fly 750 km against the wind. The speed of the plane in the still air is 200 km/h. What is the speed of

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Question 451823: An airplane flies 1,050 km with the wind. In the same amount of time, it can fly 750 km against the wind. The speed of the plane in the still air is 200 km/h. What is the speed of the wind?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the speed of the wind = w
given:
with the wind:
+d+=+%28w+%2B+200%29%2At+
(1) +1050+=+%28+200%2B+w+%29%2At+
against the wind:
(2) +750+=+%28+200+-+w%29%2At+
--------------------
(1) +1050+=++200t+%2B+w%2At+
(2) +750+=++200t+-+w%2At+
Add the equations
+1800+=+400t+
+t+=+9%2F2+
+t+=+4.5+
and
(1) +1050+=+%28+200%2B+w+%29%2A4.5+
(1) +1050+=+900+%2B+4.5w+
(1) +4.5w+=+150+
+w+=+33.33+ km/hr
check:
(2) +750+=+%28+200+-+w%29%2At+
(2) +750+=+%28+200+-+33.33%29%2A4.5+
(2) +750+=+166.67%2A4.5+
(2) +750+=+750+
OK