Wordnet 3.0
VERB (1)
1. 
 surpass in speed; 
- Example: "Malthus believed that population increase would outpace increases in the means of subsistence"
The Collaborative International Dictionary of English v.0.48:
Outpace \Out*pace"\, v. t. [Cf. Outpass.]
   1. To outgo; to move faster than; to leave behind. --Lamb.
      [1913 Webster]
   2. To exceed in development or performance; to outdo.
      [PJC]
WordNet (r) 3.0 (2006):
outpace
    v 1: surpass in speed; "Malthus believed that population
         increase would outpace increases in the means of
         subsistence"