[at some times] or [at some time]

[ansonman]

I have made up the sentences below.

(1a) I say to John, "Both of us like to walk. Sometimes, I see you a few times while walking. I think our walking routes overlap at some times."

(1b) I say to John, "Both of us like to walk. Sometimes, I see you a few times while walking. I think our walking routes overlap at some time."

Which form of "time" in "at some time(s)" is correct: singular or plural? Thank you.

[Alan]

Neither.

--> EITHER sometimes OR at certain times.