It does not have to be free. Just being able to bring my child and, later in the day, take then from where I work (or close by) would be as close to perfect as possible. I would happily pay, even 100%, if the company would facilitate an on-site daycare.

In regard to saving "a few minutes", I don't know how you (or other people) feel about it, but I'd happily spend more time with my child.