Strange is the phrase "kill time" - how can you kill time? Is it same as the way you would make time, save time, lose time, use time, spend time, waste time, consume time?
One of the earliest references I got for the phrase dates back to 19th century, when the playwright Dion Boucicault wrote in 1841, "Men talk of killing time, while time quietly kills them."
Kill time, but you won't get a sentence! (Pun intended)