Question 334674
A plane flying the 3020-mile trip from City A to City B has a 60 mph tailwind. The flights point of no return is the point at which the flight time required to return to City A is the same as the time required to continue to City B. If the speed of the plane in still air is 430 mph, how far from City A is the point of no return? I need to translate the problem into a pair of linear equations in two variables.

Ok, I have a line:

3020 miles
City A -------------------------------------------- City B

I know d = rt
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Note: The rates change from "to" to "from":
Let "x" miles from A be the point of no return,
then 3020-x is the remaining distance to B and 
"x" is the distance back to A:
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Equation:
time to complete the flight to B with wind  = time to return to A against wind
(3020-x)/490 = x/370
370(3020-x) = 490x
370*3020-370x = 490x 
370*3020 = 860x
x = 1299.3 miles from A
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Cheers,
Stan H.