lost and found paradox

I think the Lost-and-Found is a problematic idea. You see, you lose something and someone is so kind as to pick it up and take it to the Lost-and-Found...which closes at 5:30......which locks with a key your precious wallet or cell phone or both and doesn't open it until 9:00 the next day...and you rush there hoping they just dropped it off, but you realize you beat them there and they could be waltzing around with your 'protected' item anywhere on campus...and then you're without it the next hour...the next morning...when you have work...and then class...and then you've got to wait till tomorrow 'cause your class went till 6:00...and you kinda wished that the person would have just left it in the library where you left it...because I was just on my way back anyway.

Of course, I you can't blame that person for picking it up and taking care of it. At least they protected it from some other person picking it up and then faithfully taking it somewhere totally inaccessible, like the Lost-and-Found.