How would you explain this sentence?
A janitor swung a mop down the long tile path between the gates, and I took a swallow of my beer and glanced at the fine particles of dust I’d left on the floor in my wake.
“Hey, boss,” I said.
He was older, but not old, and he dragged the mop over to me and folded his arms across the end of the pole.
“I hate to bug you, but would you mind if I ran that mop across the floor there.” I started to get up to take the mop across the streak I’d left on the floor when I saw him look down.
How would you explain this sentence: I started to get up to take the mop across the streak I’d left on the floor? Does it mean he wanted to take the mop which was across the streak or he wanted to take the mop and run the mop across the streak?
Thanks!