Final answer:
Therefore, the speed of the jet in still air is 1476.6 mph, which is not one of the given options. None of the options A, B, C, or D is correct.
Step-by-step explanation:
To find the speed of the jet in still air, we can use the concept of relative velocity. Let's assume the speed of the jet in still air is x mph and the speed of the headwind is 17 mph.
When the jet flies against the headwind, its effective speed is reduced by the speed of the headwind. So, the actual speed of the jet is x - 17 mph. We can set up the equation: x - 17 = 1459.6 mph. Solving for x, we get x = 1459.6 + 17 mph = 1476.6 mph.
Therefore, the speed of the jet in still air is 1476.6 mph, which is not one of the given options. None of the options A, B, C, or D is correct.