Who wants to work out with Gen. David Petraeus? (Linda Davidson/The Washington Post)

Perhaps former CIA Director David Petraeus has extra time on his hands these days.

After resigning from his high-profile post amid a scandal over his affair with the woman writing his biography, the four-star general is now auctioning off the chance to work out with him.

Billed as a opportunity to win a “dream experience,” the money raised in the auction will benefit a charity called the Mission Continues, which offers paid fellowships to returning veterans.

“Test your physical limits during an intense workout with the man that was once in charge of all U.S. armed forces’ foreign operations before discussing military strategy over a well-deserved coffee,” touts the auction Web site. The lucky winner will learn “whether General Petraeus can kick your butt in a 5K.”

Yes, Petraeus is a known fitness buff. But let’s recall, for a moment, that it was a brisk run with a new acquaintance that started Petraeus’ downfall.

Amateur biographer Paula Broadwell reportedly scored her first interview with the general over a jog along the Potomac River; their relationship would later turn romantic and ultimately end his government career when it became public.

We assume he’s learned his lesson about staying away from workout partners.

The auction is being conducted by the Web site Omaze, which allows users to bid on fantasy experiences — from partying with country superstar Tim McGraw to hanging out on the turf during Saturday Night Football with Bob Costas — all benefitting various charities.

Also among the prizes: the chance to play the board game Battleship against Adm. Michael Mullen, chairman of the joint chiefs of staff, at the Naval Academy (proceeds also benefit the Mission Continues), and a game of paintball with Navy SEALs.