An oil tanker is 100km due north of a cruise liner. The tanker sails SE at a speed of 20km/h and the liner sails NW at a speed of 10km/h. What is the shortest distance, in km, between the two boats during the subsequent motion?
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12\pi + 18\sqrt{3}
24\pi - 3\sqrt{3}
18\pi - 8\sqrt{3}
18\pi + 12\sqrt{3}
24\pi + 18\sqrt{3}
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Senior Mathematical Challenge 2014 (2014)
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