Tigers have to travel widely to find enough food to survive. There are not many recordings on how far tigers travel while hunting at night. A scientist, George Schaller, estimated using the average walking speed of a tiger, that tigers in the Kanha National Park travel between 16 to 32 km per night (9.9 miles to 19.9 miles).
In Russia, Soviet researchers followed tiger tracks in the snow and estimated that they normally travel 15 to 20 km per day (9.3 to 12.4 miles).
There are records which indicate that tigers in eastern Siberia travel 50 to 60 km in a day but this is considered to be unusual (31 to 37 miles).
In Chitwan National Park, tigresses travel roughly 7 to 10 km per night at about 0.7 km/h (4.3 to 6.2 miles). In this park food was abundant which would have reduced the need to travel further.
Male tigers usually travel further than females. There is a record of a male adult tiger in Chitwan regularly using the park road to travel across the length of his territory which was 30 km (18.6 miles). He did this in one night routinely.
I hope that the above information provides some idea as to how far tigers travel in a day. The figures mainly relate to night-time travel but the duration is obviously very similar.
The source: page 348 of Wild Cats of the World (2002).