In the position shown in the original post, it would be an immediate draw under FIDE rules, no need for anyone to run out of time. No series of legal moves could lead to checkmate therefore the game would be over immediately.
However on chess.com one side could win if the other side flags since both sides still have "sufficient material", USCF also uses these rules.
A dead position is a draw under US Chess regulations.
Hey there, we see that there was a huge Controversy in the game between Carlsen and Alireza, Alireza was three pawns up and had a completely winning position but sadly he ran out of time. Carlsen only had a bishop and so Alireza claimed that it should be a draw, however but Alexander Grishchuk said that a mate is possible if Alireza helps him by promoting to a knight and taking his king to the corner.
But my question is the if there is a position where mate is NOT POSSIBLE even if one side helps the other and runs out of time, it should be a draw. But still White is considered as winner, why is it like that? SEE THE POSITION BELOW :
There should be a new rule that such positions where checkmate is never possible even if 1 side helps should be considered a draw if 1 side runs out of time.
Actually it is possible for either side to win on time, upon a condition. Let me show you...
Something like this could arise. I'm pretty sure it's a win on time for either side in this instance if the flag of one of the players falls.
I presume your post was intended to not include this possibility. In that case, it would be a draw as per the FIDE rules of inability to launch a checkmate in any possible combination.
Maybe this position would fit your description better (for your reference).