Answer
The speed of the aircraft in miles per hour is $1091$ miles per hour.
Work Step by Step
We need to set up a proportion to solve this problem.
$\dfrac{75}{110} = \dfrac{x}{1600}$
Use the cross-product property to multiply the numerator of one fraction with the denominator of the other:
$110x = 120,000$
Divide both sides of the equation by $110$:
$x = 1090.\overline{90}$
Thus, rounded-off to the nearest mile per hour, the speed of the aircraft is $1091$ miles per hour.