Mathematics

Mathematics

Problem

At noon, Boat A is at a dock and begins sailing due east at a constant speed of 10 km/h. At the same moment, Boat B is 40 km due north of the dock and sails due south at 6 km/h. Assuming both boats travel in straight lines, at what time tt (in hours after noon) is the distance between the two boats minimized? a) t≈2.5 ht\approx 2.5\text{ h} b) t≈1.8 ht\approx 1.8\text{ h} c) t≈0.88 ht\approx 0.88\text{ h} d) t≈3.5 ht\approx 3.5\text{ h}

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