I don't understand this part, as these sentences are contradictory. If you are permanently connected to the internet you are using it 24 hours a day, unelss you turn off your modem. It only makes sense if the second sentence means that you get 60 hours a month standby dialup service. The standby service allows you to, for example, take your laptop computer to another location and access dialup service from there. I rarely use more than an hour of it per month.
Using Broadband my computer is permanantly connected to the "telephone line" but restricts me to a certain amount of Internet usage per week, over that limit and I get warned....just for the start...!
Dial-up between the hours quoted above is unlimited.
The difference between the two....
Broadband means permanant connection, Internet + telephone calls incoming and out going.
Dial-up means no incoming/outgoing telephone calls whilst on the 'Net.*
Paul.
* a big advantage if you don't want to be disturbed during a radio program, a shower, a poo in the loo, or a bit of nooky in the bedroom...

...!