"what time exactly" is correct and usable in written English.
You can use it when you want to know the exact time of something, such as a meeting or an event. For example: "What time exactly will the movie start tonight?".
I know immediately that I can trust them with my dog but not with the car keys and not to remember what time, exactly, they're coming back for their kids".
A Victorian police spokesman told Guardian Australia that legislation around the order meant there was very little further police could say, including what time exactly police received approval to enforce the order.
I'd encountered a similar peculiarity earlier that morning, when I'd made a last minute online reservation at a lovely bed-and-breakfast, Red Bluff Cottage, only to receive a distressed call from the owner, Bonnie Ponstein, wondering what time, exactly, I was planning to arrive.
The Sabbath was only an hour away, and people kept busting into the room — kids who wanted to show off their grades; an assistant rabbi who wanted a word about the youth group; ladies of the Nashe Or ("Women of Light") Sisterhood who wanted to know what time exactly the communal meal should be served.
It was long after midnight — I don't know what time exactly, but perhaps the very moment when Marguerite's mother was bringing a second cup of coffee up to her bedroom — and I was lying awake imagining Marguerite's black garters hung over her bedpost, her weary silk undergarments crumpled by lovemaking.
He's not sure what time, exactly.
I have a goal, but I don't look up what the time exactly is, so I don't have it in my head during the race freaking out.
"The clock was running and I'm very aware of exactly what should happen at exactly what time.
"We know exactly what location we have to protect and exactly what time".
Thanks to the work of scientists, people will know exactly what time to expect the eclipse.
It is not known exactly what time the pie was thrown.
