Thats a bit simplistic.

Caffiene has a half life of 5 hours, which is to say in 5 hours your average person will have metabolised half the dose. So if you have 200mg at lunch time, at 5pm your still feeling the effects of 100mg, it could take 10 hours to completely clear your system. If you’re sensitive to Caffiene,have a low tolerance or metabolise it slower you might have trouble sleeping before midnight.

I have a biblical tolerance, I’m up at 4am for work and I’m on a pretty serious cutting diet. I have my preworkout can at 3:30 and have no trouble sleeping at 8:30 to 9pm.