Taylor is a lifeguard and spots a drowning child 30 meters along the shore and 40 meters from the shore to the child. Taylor runs along the shore for a while and then jumps into the water and swims from there directly to the child. Taylor can run at a rate of 5 meters per second and swim at a rate of 1 meter per second. How far along the shore should Taylor run before jumping into the water in order to save the child? Round your answer to three decimal places.

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