In a reaction \(\mathrm{A}+\mathrm{B}\to \mathrm{C}\), initial concentrations of A and B are related as \([\mathrm{A}{]}…

In a reaction \(\mathrm{A}+\mathrm{B}\to \mathrm{C}\), initial concentrations of A and B are related as \([\mathrm{A}{]}_{0}=8[\mathrm{B}{]}_{0}\). The half lives of A and B are \(10\) min and \(40\) min . respectively. If they start to disappear at the same time, both following first order kinetics, after how much time will the concentration of both the reactants be same?

[JEE Main 2025, 3 Apr (Shift 1)]