1. Lake Lucerne, also known as Vierwaldstättersee in German, is a scenic lake located in central Switzerland. It is the fourth largest lake in Switzerland and has a surface area of 114 sq km with a depth of up to 214 meters. The lake is surrounded by picturesque mountains and is famous for its turquoise blue water.

Some interesting facts about Lake Lucerne include:

- The lake is surrounded by four cantons: Uri, Schwyz, Unterwalden, and Lucerne. This is where the name Vierwaldstättersee (Four Forested Cantons) comes from.

- The lake is fed by several rivers and streams, including the River Reuss and the River Engelberger Aa.

- There are several small islands in the lake, including the famous Swiss Path, which is a 35 km long hiking trail that runs along the lake shore.

- The lake is a popular tourist destination, with activities such as boat tours, swimming, and hiking.

2. There is no official working time for the lake itself, as it is a natural attraction that can be accessed at any time. However, boat tours and other activities may have specific operating hours.

For boat tours, operators such as Lake Lucerne Navigation Company (SGV) offer different tours throughout the day, with prices ranging from CHF 20-50 depending on the length and type of tour.

3. Transportation to Lake Lucerne is easy, as it’s located in the heart of Lucerne city. The lake can be accessed by foot, bike, or public transportation. The Lucerne train station is within walking distance of the lake, and there are also bus and tram stops nearby. Boat tours and water taxis are also available for transportation on the lake itself.