I think, as new trail continue your count and wait for things to explode. As new Lead, mark the time and wait for things to explode, As C, I probably don't even know the clock hasn't started.
When things explode, come together as a crew and determine what definite knowledge you have of the time remaining in the game. Go from there.
This has happened to me in a 2 whistle game. when I realized (as Trail) that the clock was not running and I had reached a count that exceeded the time left on the clock, I blew my whistle and called the game. It worked out.