At 8 P.M. an oil tanker traveling west in the ocean at 13 kilometers per hour passes the same spot as a luxury liner that arrived at the same spot at 7 P.M. while traveling north at 24 kilometers per hour. If the "spot" is represented by the origin, find the location of the oil tanker and the location of the luxury liner t hours after 7 P.M. Then find the distance D between the oil tanker and the luxury liner at that time. D(t) = 11.3503721737 At what time were the ships closest together? (Hint: Minimize the distance (or the square of the distance!) between them.) The time is P.M. (Round down to the nearest minute.)

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