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70 60 50 40 30 20 10 10 10 10 20 30 40 50 Luca is a lifeguard and spots a drowning child 50 meters

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70 60 50 40 30 20 10 10 10 10 20 30 40 50 Luca is a lifeguard and spots a drowning child 50 meters along the shore and 70 meters from the shore to the child Luca runs along the shore for a while and then jumps into th water and swims from there directly to the child Luca can run at a rate of 3 meters per second and swim at a rate of 1 1 meters per second How far along the shore should Luca run before jumping into the water in order to save the child Round your answer to three decimal places

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