Why are my texts that I'm recieving being delayed? IPhone 6?

Today my texts from my boyfriend have been delayed. When I receive them they're like 20 mins - 1 hour late, but when the notification pops up on my screen or actually in my messages, yknow the screen that you actually text from, it says the time I actually "received" it. He doesn't understand it either. It's been happening all day, and it's never happened before. I have AT&T and he has Verizon. He has an older version of a Blackberry, but it's brand new, I don't know if that changes anything. I'm not that savvy when it comes to technology so I'm kind of confused.

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