RE Boat rates Two boats leave a dock at the same lime. One

Solution Step 1: Given two boats leave a dock at the same time.one boat travels south at 30mi/hr and the other travels east at 40mi/hr Let x be the distance the east bound boat has traveled and y be the distance the south bound boat has traveled and let D be the distance between two boats We have given x the distance the east bound boat has traveled at 40mi/hr that is x’ And y the south bound boat has traveled at 30mi/hr that is y’ Then after half an hour that is at t=0.5hr x will be 20 and y will be 15 By the pythagorean theorem 2 D = x +y 2 So dD dx dy 2D dt= 2x dty dt dy D dt = x dt dt D dD = x(x(t))+y(y(t)) dt dD x(x(t))+y(y(t)) dt= D