I personally only charge by the week, or by the day at a drop in rate. If this client were mine, I'd tell them that I could accomadate those hours, because of another client needing all but those hours those days. I would quote them the full drop in rate and they could take it or leave it.- making it very clear, I could not accomadate an earlier drop off or later pickup. I wouldn't reduce my fees (though I can see your reasons for wanting to). I wouldn't really want another kid here for just a couple hours a day. They would have a harder time getting on our schedule, following rules, etc. etc. Plus it adds another drop off/pick up to my day. If they could agree to my terms, I'd sign them on; otherwise, they could keep looking.

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