outpace v 1: surpass in speed; "Malthus believed that population increase would outpace increases in the means of subsistence"
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]