Source : Webster's Revised Unabridged Dictionary (1913)

Outpace \Out*pace"\, v. t. [Cf. {Outpass}.]
   To outgo; to move faster than; to leave behind. [R.] --Lamb.

Source : WordNet®

outpace
     v : surpass in speed; "Malthus believed that population increase
         would outpace increases in the means of subsistence"