New York and Chicago are 1170 km apart. There is a fiber optic link between them with a refractive index of 1.44. There is also a satellite in orbit above at an altitude of 550 km. Assuming that the satellite is exactly midway between the cities and there are no other communication delays in the electronics, which route would provide the fastest data link?

New York and Chicago are 1170 km apart. There is a fiber optic link between them with a refractive index of 1.44. There is also a satellite in orbit above at an altitude of 550 km. Assuming that the satellite is exactly midway between the cities and there are no other communication delays in the electronics, which route would provide the fastest data link?