ST JOHN'S (AFP) - Alastair Cook hit his second half-century of the match to help England beef-up their lead over West Indies on the fourth day of the third Test on Wednesday at the Antigua Recreation Ground. Cook was unbeaten on 51 and Kevin Pietersen was not out on 17, as England, leading by 281 on first innings, reached 135 for three in their second innings at lunch on the penultimate day of the Test. Cook turned his 92nd ball from Sulieman Benn behind square for a single to reach the landmark, as England made steady, if not rapid progress before the interval, after they continued from their over night total of 31 for one. Cook had been allied with James Anderson and they frustrated West Indies for the first hour in a stand of 46 for the second. But Anderson was dismissed on the stroke of the drinks break, when he was caught behind for 20 off Daren Powell. Anderson had been fortunate that West Indies captain Chris Gayle put him down on 11 off Fidel Edwards in the first 40 minutes of the morning. England continued to chase quick runs, and Owais Shah struck Powell for a wonderful six over mid-wicket before the same bowler spectacularly bowled him middle-stump for 14 to leave the visitors on 97 for three. England trail 0-1 in the series which now comprises five Tests, following an innings and 23-run defeat in the opening Test at Kingston inside four days. The other two Tests in the series take place at Kensington Oval in Barbados from February 26 to March 2, and Queen's Park Oval in Trinidad from March 6 to 10. SCOREBOARD ENGLAND 1st Innings 566 for nine declared (A. Strauss 169, P. Collingwood 113) WEST INDIES 1st Innings 285 (R. Sarwan 94; G. Swann 5-57) ENGLAND 2nd Innings (overnight 31 for one) A. Strauss c D.S. Smith b Edwards 14 A. Cook not out 51 J. Anderson c Ramdin b Powell 20 O. Shah b Powell 14 K. Pietersen not out 17 EXTRAS (b7, lb1, w5, nb6) 19 TOTAL (3 wkts) 135 Fall of wickets: 1-23 (Strauss), 2-69 (Anderson), 3-97 (Shah) BOWLING: Edwards 9-1-36-1 (nb5, w5) Taylor 7-2-18-0 Powell 7-0-33-2 Benn 9-0-31-0 (nb1) Hinds 4-0-9-0 Overs: 36 Position: England lead by 416 runs with seven second innings wickets standing Umpires: R. Koertzen, D. Harper, TV Replays: N. Malcolm, Reserve: C. Mack Match Referee: A. Hurst.