Two boats depart from the same pier at noon

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

Problem

Two boats depart from the same pier at noon. Boat A travels due east at a constant speed of 20 km/h, and Boat B travels due north at a constant speed of 15 km/h. How fast is the straight-line distance between the two boats changing at 2:00 p.m.? (a) 17.9 km/h17.9\text{ km/h} (b) 25 km/h25\text{ km/h} (c) 35 km/h35\text{ km/h} (d) 5 km/h5\text{ km/h}

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