I actually really don't know how much I can agree with this. It really doesn't take a lifetime in order to have trust between two people. It's possible to have known someone for a short while and completely trust them. It's the way they carry them self, the decisions they make, things they do and choices they make that'll affect you. The past is usually a strong indicator of how trustworthy someone is,too. Not saying that the past should dictate who or how the person is, but in some instances, people just don't change, or they just aren't capable of changing because they really don't want to. Sometimes. Putting all this into consideration, I think you can determine how much you can trust someone without having to have known them for a lifetime.
As for trust taking a second to destroy, I honestly believe that if there was a strong sense of trust to begin with, there isn't any way to really destroy it in a matter of second(s). It's a process of active engagement that obliterates any sense of trust a person may have had or has. It would have definitely taken more than a second for someone to continuously make a series of mistake that could ruin any trust. There must have been a perpetual cycle or an ongoing issue one was unaware of in order to lose trust in someone.
Anyways, I think after the trust is broken, it takes a while to repair. It just takes time.