How to track the time spent on a quiz

We  would like to host a small competition for our employees as part of the launch of a new product. As part of this, they do a few quizzes and the faster you answer, and more correct you are in your quiz answers, the higher you are on the scoreboard. 

I would like to figure out how to see the time spent on the quiz. The LMS can give the data of total time spent on the quiz, but I only want to track the questions part and not the intro page and results page as some may spend more time reading time on there, so I don't want to track that - only the question slides.

Is there a way to track those question slides only? And how to give the score and that time spent both output to the LMS?