Charging and discharging a capacitor with a capacitance of 1 farad and a resistance of 30 ohms theoretically takes an infinite amount of time. However, in practical terms, both processes occur at the same rate, dictated by the time constant, which is a function of resistance and capacitance. The time constant for both charging and discharging is equal, leading to similar rates for both processes. The discussion emphasizes the importance of understanding the differential equations governing RC circuits. Ultimately, the charging and discharging dynamics are intrinsically linked through their time constants.