OUTPACE
outpace
(verb) surpass in speed; “Malthus believed that population increase would outpace increases in the means of subsistence”
Source: WordNet® 3.1
Etymology
Verb
outpace (third-person singular simple present outpaces, present participle outpacing, simple past and past participle outpaced)
(transitive) To go faster than; to exceed the pace of.
Source: Wiktionary
Out*pace" v. t. Etym: [Cf. Outpass.]
Definition: To outgo; to move faster than; to leave behind. [R.] Lamb.
Source: Webster’s Unabridged Dictionary 1913 Edition