I would not think it would be effective. Here is the rule on service in Texas (Rule 21a):
(a) Methods of Service. Every notice required by these rules, and every pleading, plea, motion, or other form of request required to be served under Rule 21, other than the citation to be served upon the filing of a cause of action and except as otherwise expressly provided in these rules, may be served by delivering a copy to the party to be served, or the party's duly authorized agent or attorney of record in the manner specified below:
(1) Documents Filed Electronically. A document filed electronically under Rule 21 must be served electronically through the electronic filing manager if the email address of the party or attorney to be served is on file with the electronic filing manager. If the email address of the party or attorney to be served is not on file with the electronic filing manager, the document may be served on that party or attorney under subparagraph (2).
(2) Documents Not Filed Electronically. A document not filed electronically may be served in person, by mail, by commercial delivery service, by fax, by email, or by such other manner as the court in its discretion may direct.
(b) When Complete.
(1) Service by mail or commercial delivery service shall be complete upon deposit of the document, postpaid and properly addressed, in the mail or with a commercial delivery service.
(2) Service by fax is complete on receipt. Service completed after 5:00 p.m. local time of the recipient shall be deemed served on the following day.
(3) Electronic service is complete on transmission of the document to the serving party's electronic filing service provider. The electronic filing manager will send confirmation of service to the serving party.
(c) Time for Action After Service. Whenever a party has the right or is required to do some act within a prescribed period after the service of a notice or other paper upon him and the notice or paper is served upon him by mail, three days shall be added to the prescribed period.
(d) Who May Serve. Notice may be served by a party to the suit, an attorney of record, a sheriff or constable, or by any other person competent to testify.
(e) Proof of Service. The party or attorney of record shall certify to the court compliance with this rule in writing over signature and on the filed instrument. A certificate by a party or an attorney of record, or the return of the officer, or the affidavit of any other person showing service of a notice shall be prima facie evidence of the fact of service. Nothing herein shall preclude any party from offering proof that the document was not received, or, if service was by mail, that the document was not received within three days from the date that it was deposited in the mail, and upon so finding, the court may extend the time for taking the action required of such party or grant such other relief as it deems just.
(f) Procedures Cumulative. These provisions are cumulative of all other methods of service prescribed by these rules.
If it was served after 5, it's treated as being served on Tuesday, and he has 3 days from then.