'Trek' definitions:

Definition of 'trek'

noun

A journey by ox wagon (especially an organized migration by a group of settlers)

noun

Any long and difficult trip

verb

Journey on foot, especially in the mountains; "We spent the summer trekking in the foothills of the Himalayas"

verb

Make a long and difficult journey; "They trekked towards the North Pole with sleds and skis"

From: GCIDE

Trek \Trek\, v. i. [imp. & p. p. Trekked; p. pr. & vb. n. Trekking.] [Written also treck.] [D. trekken. See Track, n.] [South Africa]
1. To draw or haul a load, as oxen. [Webster 1913 Suppl.]
2. To travel, esp. by ox wagon; to go from place to place; to migrate. [Chiefly South Africa]
One of the motives which induced the Boers of 1836 to trek out of the Colony. --James Bryce. [Webster 1913 Suppl.]

From: GCIDE

Trek \Trek\, n. [Written also treck.] [D. Cf. Track, n.] The act of trekking; a drawing or a traveling; a journey; a migration. [Chiefly South Africa]
To the north a trek was projected, and some years later was nearly carried out, for the occupation of the Mashonaland. --James Bryce.
Great Trek, the great emigration of Boers from Cape Colony which began in 1836, and resulted in the founding of the South African Republic and Orange Free State. [Webster 1913 Suppl.]