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Shortest distance between two moving ships & time it occurs

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One ship (ship A) is moving due north at 25 mph, and another ship (ship B) is moving due east at 18 mph. At 2 p.m. on a certain day, ship A is located 250 miles directly south of Ship B. Give algebraic expressions for the north-south and east-west distances between the two ships, determine the number of hours after 2 p.m. at which the minimum distance between them is attained, and determine that minimum distance.

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Georgia Martin, PhD
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  • PhD, The Catholic University of America
  • PhD, The University of Maryland at College Park
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