60 50 40 30 20 10 -10 40 10 20 30 You are a lifeguard and spot a drowning child 40 meters along the shore and 60 meters from the shore to the child. You run along the shore and for a while and then jump into the water and swim from there directly to child. You can run at a rate of 4 meters per second and swim at a rate of 1 meter per second. How far along the shore should you run before jumping into the water in order to save the child? Round your answer to three decimal places.

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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You are a lifeguard and spot a drowning child 40 meters along the shore and 60 meters from the shore to the child. You
run along the shore and for a while and then jump into the water and swim from there directly to child. You can run at a
rate of 4 meters per second and swim at a rate of 1 meter per second. How far along the shore should you run before
jumping into the water in order to save the child? Round your answer to three decimal places.
Transcribed Image Text:60 50 40 30 20 10 -10 40 10 20 30 You are a lifeguard and spot a drowning child 40 meters along the shore and 60 meters from the shore to the child. You run along the shore and for a while and then jump into the water and swim from there directly to child. You can run at a rate of 4 meters per second and swim at a rate of 1 meter per second. How far along the shore should you run before jumping into the water in order to save the child? Round your answer to three decimal places.
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