The old joke is "all pawn endings are wins, all rook endings are draws, all queen endings are draws by perpetual check".
Black is better. In the old days, before a possible adjournment, the director would ask both players what they were aiming for. If both players said they were playing for a draw, the director might settle things at once.
In this position, Black would say he's playing to win, White's playing to hold a draw. In practice, anything can happen.
Black's plan is probably: Swap the h-pawns (though the player who is one pawn ahead in an ending is hoping to trade pieces, not pawns), put the rook on the e-file to cut off the white king, and see where the c-pawn takes him.