How to make query for date only, not time?

I am developing a Rails 3.2 web app and in this app I got a query that finds all accounts created more than 2 weeks ago and that paid on a specific date (1 month ago exactly). The problem is that my query does not find anything even though the dates are correct. I think it has something to do with the time. How can I ignore the time in the query and only use the dates? ``` created_at = Time.now - 2.weeks paid_at = Time.now - 1.month Account.where(["created_at >= ? AND paid_at = ?", created_at.beginning_of_day, paid_at.beginning_of_day]).select(:id) ``` I also tried this with the same result: ``` Account.where(["created_at >= ? AND paid_at = ?", 2.weeks.ago, 1.month.ago]).select(:id) ``` I think I am on the right way here but I need to use the created_at part too and it seems to be ignored in this query: ``` Account.where('created_at > ? AND paid_at BETWEEN ? AND ?', 2.years.ago, 1.month.ago.beginning_of_day, 1.month.ago.end_of_day) ```