A night earlier Paul Pierce had told everyone, perhaps with an eye toward his younger and newer teammates, of the benefit a win in one of the NBA’s toughest road stops would pay.

Along with fellow oldie Kevin Garnett, Pierce then showed everyone why the Celtics are known for these moments. Pierce and Garnett, both bone-tired on the last night of a five-game Western road trip, combined for 11 of the C’s 13 points in overtime in a 110-107 win against the Utah Jazz.

It was the Celtics’ 10th overtime game of the season. They improved to 6-4 in OT games and have played a total of 14 extra periods.

After Sunday’s flop in Portland against the Trail Blazers, a win like this one wasn’t going to just supply an important boost — it was going to be absolutely necessary.

“It was huge,” coach Doc Rivers said. “Whatever that was, it was the best win of the year for me.”

Garnett, called on to play a full fourth quarter on consecutive nights, turned down Rivers’ offer of rest for the first two minutes of overtime.

“He just told me I was going to sit the first couple of minutes and I wasn’t comfortable with that,” Garnett said. “I didn’t overrule him, but he trusted what I was saying, and it worked out.”