Pipes $\mathrm{A}$ and $\mathrm{C}$ are fill pipes while Pipe $\mathrm{B}$ is a drain pipe of a tank. Pipe $\mathrm{B}$ empties the full tank in one hour less than the time taken by Pipe $\mathrm{A}$ to fill the empty tank. When pipes $\mathrm{A, B}$ and $\mathrm{C}$ are turned on together, the empty tank is filled in two hours. If pipes $\mathrm{B}$ and $\mathrm{C}$ are turned on together when the tank is empty and Pipe $\mathrm{B}$ is turned off after one hour, then Pipe $\mathrm{C}$ takes another one hour and $15$ minutes to fill the remaining tank. If Pipe $\mathrm{A}$ can fill the empty tank in less than five hours, then the time taken, in minutes, by Pipe $\mathrm{C}$ to fill the empty tank is
- $75$
- $120$
- $60$
- $90$