A car is driving due west away from an intersection at 60 km/h

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A car is driving due west away from an intersection at 60 km/h. At the same time, a cyclist is 3 km south of the intersection and riding due north toward it at 20 km/h. When the car is 5 km west of the intersection and the cyclist is 1 km south of it, approximately how fast is the distance between the car and the cyclist changing? (a) about 63 km/h63\text{ km/h} (b) about 42 km/h42\text{ km/h} (c) about 55 km/h55\text{ km/h} (d) about 56 km/h56\text{ km/h}

Related theory

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