While I come across some explanations on why KCL works, it is usually attributed to the Law of Conservation of Charge. But by the statement of KCL, it states that the current entering and leaving a node are equal. For this to hold true, the charge entering and leaving the node must be equal (This is guaranteed by the Law of Conservation of Charge). My question is "Why the time taken by the charges to enter and leave the circuit needs to be equal?"
Could anyone please provide me an intuitive explanation or proof for this? I'm unable to internalize the concept. If I'm clear with this, I could understand about constant current in a series circuit.
P.S.: I'm sorry if my Physics vocabulary is not good because I'm a high schooler.