Tracking time spent?

If a website is developed in a way such that no matter what the user does, the URL never changes and the page is not reloaded, how can we track the time spent on the page? If you wanted to compare the number of sessions and conversion rate per device type of a website to the one of other websites, is it possible? Thanks..

from Google Analytics http://ift.tt/1MprzK5
via IFTTT
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