Two cyclists began a run, one starting from Delhi and the other starting from Agra. When the riders were 180 miles apart, a fly took an interest. Starting on one cyclists shoulder, the fly flew ahead to meet the other cyclist. After reaching him the fly then turned around and yet back.
The restless fly continued to shuttle back and fourth until the pair met; then settled on the nose of one rider. The flys speed was 30 mph. Each cyclist speed was 15 mph.
How many miles did the fly travel?