Two boats depart simultaneously from the same dock

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Two boats depart simultaneously from the same dock. Boat A travels due east at 15 mph, while Boat B travels due north at 20 mph. How fast is the straight-line distance between the boats increasing when Boat A is 12 miles east of the dock and Boat B is 16 miles north of the dock? (a) 18 mph18\,\text{mph} (b) 12 mph12\,\text{mph} (c) 25 mph25\,\text{mph} (d) 24 mph24\,\text{mph}

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