As a lifeguard, Jared is able to run along the beach with rescue gear at 7km/h, and use a paddle board out to a victim at 5km/h. From where Jared is standing there is a swimmer in trouble that is 1.4km down the beach and 800m directly away from the shore at that point. Determine the shortest time it will take Jared to rescue this swimmer. Also please indicate where Jared should move from the shore to the paddle board.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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As a lifeguard, Jared is able to run along the beach with rescue gear at 7km/h, and use a paddle board out to a victim at 5km/h. From where Jared is standing there is a swimmer in trouble that is 1.4km down the beach and 800m directly away from the shore at that point. Determine the shortest time it will take Jared to rescue this swimmer. Also please indicate where Jared should move from the shore to the paddle board.
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