40 30 20 10 -10 10 20 30 David is a lifeguard and spots a drowning child 30 meters along the shore and 40 meters from the shore to the child. David runs along the shore for a while and then jumps into the water and swims from there directly to the child. David can run at a rate of 4 meters per second and swim at a rate of 0.9 meters per second. How far along the shore should David run before jumping into the water in order to save the child? Round your answer to three decimal places.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.9: Modeling With Equations
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David is a lifeguard and spots a drowning child 30 meters along the shore and 40 meters from the shore to
the child. David runs along the shore for a while and then jumps into the water and swims from there
directly to the child. David can run at a rate of 4 meters per second and swim at a rate of 0.9 meters per
second. How far along the shore should David run before jumping into the water in order to save the child?
Round your answer to three decimal places.
Transcribed Image Text:40 30 20 10 -10 10 20 30 David is a lifeguard and spots a drowning child 30 meters along the shore and 40 meters from the shore to the child. David runs along the shore for a while and then jumps into the water and swims from there directly to the child. David can run at a rate of 4 meters per second and swim at a rate of 0.9 meters per second. How far along the shore should David run before jumping into the water in order to save the child? Round your answer to three decimal places.
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