70 60 50 40 30 20 10 -10. 30 10 20 30 40 Carmen is a lifeguard and spots a drowning child 40 meters along the shore and 70 meters from the shore to the child. Carmen runs along the shore for a while and then jumps into the water and swims from there directly to the child. Carmen can run at a rate of 5 meters per second and swim at a rate of 0.9 meters per second. How far along the shore should Carmen run before jumping into the water in order to save the child? Round your answer to three decimal places.

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Carmen is a lifeguard and spots a drowning child 40 meters along the shore and 70 meters from the
shore to the child. Carmen runs along the shore for a while and then jumps into the water and swims
from there directly to the child. Carmen can run at a rate of 5 meters per second and swim at a rate of
0.9 meters per second. How far along the shore should Carmen run before jumping into the water in
order to save the child? Round your answer to three decimal places.
Transcribed Image Text:70 60 50 40 30 20 10 -10. 30 10 20 30 40 Carmen is a lifeguard and spots a drowning child 40 meters along the shore and 70 meters from the shore to the child. Carmen runs along the shore for a while and then jumps into the water and swims from there directly to the child. Carmen can run at a rate of 5 meters per second and swim at a rate of 0.9 meters per second. How far along the shore should Carmen run before jumping into the water in order to save the child? Round your answer to three decimal places.
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