Melville ran for a 28-yard touchdown on Colgate's first possession, capping a nine-play, 65-yard drive. Later, Holland scored on a 1-yard run to finish off the first quarter. Melville and Russell scored rushing touchdowns in the second quarter for a 28-28 tie at halftime.
Russell scored again in the third quarter and Melville threw a fourth-quarter touchdown to Alex Greenawalt to put Colgate on top, 42-35, with 7:14 to play.
The Mountain Hawks (5-5, 3-2) tied it up again and the Raiders answered with another score by Holland with 2:49 remaining for the win.