The current timetable for the Leeds-Settle-Appleby-Carlisle line is available to download here:
Fares are dependent upon the journey being taken. Discounts for national railcards apply. Holders of Dales Railcards also benefit from discounts (subject to conditions of permitted area of travel). Special offers are also available at certain times throughout the year.
You can also visit any manned railway station in the UK to get fares and buy tickets for the Settle-Carlisle line.