SOLUTION: A jet airliner traveling with a 20 mile per hour tailwind covers 585 miles in the same amount of time it is able to travel 505 miles after the tailwind eases to 10 miles per hour.

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The "time" equation is


 = .


Cross multiply; then simplify and solve for x.


585*(x+10) = 505*(x+20)


x =  = 53.125 miles per hour.    ANSWER