## Problem of the Day #193: Running Laps
*September 28, 2011*

*Posted by Alex in : potd , trackback*

Albert can run a lap on the track in $120$ seconds. Sreenath can run a lap on the track in $100$ seconds. The two start running laps at the same time from the same place. Define Sreenath’s *domination factor* to be the ratio of the number of times that Sreenath has lapped Albert to the total number of seconds elapsed. Find the smallest number of seconds after which Sreenath’s *domination factor* is maximized.

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