Early Quenya
lehesta
noun. ride, riding, raid
lehtasta
noun. ride
Beware, older languages below! The languages below were invented during Tolkien's earlier period and should be used with caution. Remember to never, ever mix words from different languages!
A noun appearing as ᴱQ. lehesta “riding, raid” in the Early Qenya Grammar of the 1920s (PE14/45, 75). In the contemporaneous English-Qenya Dictionary, it was lehesta or lehtasta “ride” based on the verb ᴱQ. lehe or lehta “ride” (PE16/132).
Neo-Quenya: For purposes of Neo-Quenya, I would update the noun to ᴺQ. nortasta “a ride” based on the later verb Q. norta- “to ride”. For “riding” as a general activity I would just use the gerund nortie.