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Walter is a lifeguard and spots a drowning child 50 meters along the shore and 40 meters from the shore to the child. Walter runs along the shore for a while and then jumps into the water and swims from there directly to the child. Walter can run at a rate of 3 meters per second and swim at a rate of 0.8 meters per second. How far along the shore should Walter run before jumping into the water in order to save the child?  Round your answer to three decimal places.