The distance is 19.2 km if by road, but if you mean the distance from Cebu city to Lapu-lapu city without the roads, its 11.14 mi or 17.93 km, or exactly 9.67 nautical miles. The trip would take about 30 minutes and if you go by air, with an average speed of 560 m/h, you would arrive 1.2 minutes later. Hope that answered your question.
Source: http://www.distancefromto.net/between/Lapu-Lapu+City/Cebu+City
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