The speed of the private jet is 659 miles per hour.
Speed is the ratio of distance travelled to total time taken. It is given by:
Speed = distance / time
Let a represent the speed of the jet and b represent the speed of the wind. The private jet can fly 2145 miles in three hours with a tailwind, hence:
(a + b)3 = 2145
a + b = 715 (1)
It can travel 1809 miles in three hours with a headwind, hence:
(a - b)3 = 1809
a - b = 603 (2)
From equation 1 and 2:
a = 659, b = 56
The speed of the private jet is 659 miles per hour.
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