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I was jogging when a fly started flying back and forth...

Source: 2007-2008 SDML Middle School 1b Problem 5

August 24, 2016

Problem Statement

Maria and Joe are jogging towards each other on a long straight path. Joe is running at 1010 mph and Maria at 88 mph. When they are 33 miles apart, a fly begins to fly back and forth between them at a constant rate of 1515 mph, turning around instantaneously whenever it reachers one of the runners. How far, in miles, will the fly have traveled when Joe and Maria pass each other?