SOLUTION: proportion and problem solving with rational equations algebra 2 A pilot can fly a DC-10 1365 miles against the wind in the same time as he can fly 1575 miles with the wind. if t

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Question 776680: proportion and problem solving with rational equations algebra 2
A pilot can fly a DC-10 1365 miles against the wind in the same time as he can fly 1575 miles with the wind. if the speed of the plane in still air is 490 miles per hour, find the speed of the wind
Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website!
Solve the problem in general.
r = speed in no wind
c = speed of the wind
r+c = speed of plane with the wind
r-c = speed of plane against the wind
u = distance traveled using r+c speed
b = distance traveled using r-c speed
h = a give amount of time for the situation ---- UNKNOWN in this situation

Equations are these:

and

You were given values for everything but not for c. The question asks, find c, the speed of the wind.

The analysis is described and now, the rest of the solution process:
Against the wind, .
With the wind,
These expressions for h are equal. They are equal, according to what was given.
'

and then substitute the given values.