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50 60 50 40 30 20 20 10 10 10 20 30 40 Rafaela is a lifeguard and spots a drowning child 40 meters

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50 60 50 40 30 20 20 10 10 10 20 30 40 Rafaela is a lifeguard and spots a drowning child 40 meters along the shore and 60 meters from th shore to the child. Rafaela runs along the shore for a while and then jumps into the water and swims from there directly to the child. Rafaela can run at a rate of 3 meters per second and swim a a rate of 1 meter per second. How far along the shore should Rafaela run before jumping into the water in order to save the child? Round your answer to three decimal places.

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