At Wagon Wheel Inn, guests can choose from various types of rooms. They offer King Rooms with a king size bed, Double Rooms with two double beds, and King Rooms with Whirlpool tubs. All rooms are non-smoking and have a room size of 172 sqft. The King and Double Rooms accommodate 2 adults and 1 child, while the Double Room with Two Double Beds can accommodate 2 adults and 2 children.

Based on the provided data, guests at the Wagon Wheel Inn can spend their time enjoying the leisure amenity of skiing. The hotel features skiing as its only listed amenity, indicating that guests can partake in this winter sport during their stay.

It is important to note that no other amenities are specified in the data, so it can be inferred that the hotel primarily caters to guests who are interested in skiing or outdoor activities related to skiing. However, without further information, it is uncertain whether the hotel provides other leisure amenities such as a spa, fitness center, or swimming pool.

In conclusion, guests at the Wagon Wheel Inn can spend their time at the hotel by taking advantage of the skiing amenity.