Duke needed to get back into the victory column. Rutgers just needed a win.
Two programs, separated by years of basketball prosperity, shared an objective and celebrated similar success on Sunday.
No. 3 Duke bounced back from Thursday's emotional loss to North Carolina, now top ranked, by beating Florida State 100-58.
"This wasn't as big a game for everybody, but it was for us," Duke's Mike Dunleavy said.
The victory gave the Blue Devils (20-2, 8-1 Atlantic Coast Conference) their 16th 20-win season in the last 18 years under Mike Krzyzewski.
In other games involving Top 25 teams, Rutgers ended an eight-game losing streak and earned its first Big East win of the season with a 70-64 victory over then-No. 22 Seton Hall; No. 4 Michigan State topped Purdue 72-55; No. 13 Maryland stopped Clemson 69-54; and No. 17 Boston College defeated Villanova 89-74.
Duke, drained from a grueling stretch that included games against Wake Forest, Maryland and North Carolina, found its motivation for Sunday's game in its loyal fans.
"It was a strange feeling, you looked at the fans and even they were exhausted," senior tri-captain Nate James said of the Cameron Crazies. "There was so much emotion in that North Carolina game, we walked onto the court today and said, 'Wow, we really have to play well, because we owe it to the fans and we owe it to each other.'
"Once you step on that court it's not about you. It's about Duke."
Carlos Boozer of Juneau scored 23 points and Shane Battier 21 for the Blue Devils, who reversed Thursday's poor free throw performance by going 8-for-8 from the line in the first half and 25-for-32 overall.
Reserve Monte Cummings scored 13 points for the Seminoles (6-16, 1-8), who matched a season-high with 21 turnovers. Florida State fell to 0-8 this season against ranked teams and has lost 13 straight to the Blue Devils.
In East Rutherford, N.J., Rutgers (9-11, 1-8 Big East) rallied from a 17-point deficit in the final 12 minutes to snap a three-game losing streak to its in-state rival.
"This is a lot bigger than just one win," said Todd Billet, who scored 16 of his 19 points in the final 6:45 for the Scarlet Knights. "We've always believed in ourselves despite the record.
"We were playing on emotion the whole second half, but we kept our poise and composure."
Jeff Greer scored 24 points for Rutgers.
The loss was the latest in a series of poor outings for Seton Hall (12-8, 3-6), which was ranked as high as seventh, but dropped out of the top 25 this week. The Pirates have lost three straight, five of six and six of eight.
"They just played harder than us," said Seton Hall freshman forward Eddie Griffin, who finished with seven points on 3-for-8 shooting and scored less than 10 points for the first time in his career. "I find myself saying that after almost every game we play."
Darius Lane led the Pirates with 18 points and Samuel Dalembert had 13 points and 10 rebounds.
"I wish we could focus on getting to the tournament, but right now our focus is on winning a game," Seton Hall coach Tommy Amaker said. "Having lost three in a row we have to focus on that. Everything else is secondary."
No. 4 Michigan St. 72, Purdue 55
Michigan State used a 22-0 first-half run and a suffocating defense to extend the nation's longest home winning streak to 41 games.
Andre Hutson scored 14 points, Zach Randolph 12 and Marcus Taylor 10 for the Spartans (18-2, 7-2 Big Ten).
Willie Deane scored 20 points for the Boilermakers (13-7, 5-4).
No. 13 Maryland 69, Clemson 54
Terence Morris scored 18 points, including three straight clutch baskets down the stretch, as the host Terrapins beat Clemson for the seventh straight time.
Lonny Baxter had 14 points and 13 rebounds, and Juan Dixon had 11 points and 11 rebounds for Maryland (15-6, 6-3 Atlantic Coast Conference), which has played 112 home games without consecutive losses.
Will Solomon scored 19 points for Clemson (10-12, 1-8), which has lost six straight.
No. 17 Boston College 89, Villanova 74
Troy Bell scored 22 points as host Boston College extended its best start in 34 years.
Kenny Walls scored a season-high 16 points and reserve Ryan Sidney finished with 12 points for Boston College (16-2, 7-1 Big East), off to its best start since 1966-67, when it was 23-2 under coach Bob Cousy.
Villanova (12-8, 4-5) lost for the sixth time in eight games despite 26 points and 11 rebounds from Michael Bradley and 17 points by Ricky Wright.
Villanova's Gary Buchanan kept his streak of successful free throws intact. He made two and now has 63 in a row, one less than the NCAA Division I record held by Joe Dykstra of Western Illinois.