Boat P is sailing due north toward a pier at 18 knots

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Boat P is sailing due north toward a pier at 18 knots, while boat Q is sailing due east toward the same pier at 24 knots. At an instant when boat P is 3 nautical miles and boat Q is 4 nautical miles from the pier, calculate the rate (in knots) at which the distance between the two boats is changing and indicate whether that distance is increasing or decreasing.

Related theory

Browse the problem library