On the play, Torres got control of a loose ball in front of the net and skipped it over the outstretched hand of United goalkeeper Bill Hamid, providing all the offense the Goats (6-15-7) would need in a meeting of last-place teams.
Forward Conor Doyle had two first-half scoring chances for United (3-19-5), but was stopped by Dan Kennedy each time.
The Washington team's road winless streak was extended to 15 matches.
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