Observer A on Earth sees spaceship B moving at speed \(v=0.600 c_{0}\) away from Earth and spaceship C moving at the same speed in the opposite direction. Observer A determines that both ships simultaneously sent out a radio signal at 12:00:00 noon and another signal at 12:05:00 p.m., making the time interval A measures between the emission of the signals from each ship \(\Delta t_{\mathrm{A}}=5.00 \mathrm{~min}\). Let \(\Delta t_{\mathrm{BB}}\) denote the time interval measured on ship B between the emission of signals on ship B, \(\Delta t_{\mathrm{BC}}\) denote the time interval measured on ship B between the emission of signals on ship \(\mathrm{C}\), and \(\Delta t_{\mathrm{CB}}\) denote the time interval measured on ship \(C\) between emission of signals on ship B.

(a) Is \(\Delta t_{\mathrm{BB}}\) greater than, less than, or equal to \(\Delta t_{\mathrm{A}}\) ? 

(b) Is \(\Delta t_{\mathrm{BC}}\) greater than, less than, or equal to \(\Delta t_{\mathrm{CB}}\) ?