Warning for Future Toukyou

Excuse this if it's a stupid question, just want to make sure I am understanding this correctly.

So after you take this quest you must stay connected for 25 hours, but if your client closes as long as you log back in within one hour it will continue?

Yep


@Above : Actually, turning your computer on and off every day uses up more electricity than if you were to leave your computer on 24/7. It's also bad for you computer if you turn it on and off every day.