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You are a lifeguard and spot a drowning child 30 meters along the shore and 60 meters from the shore to the child. You run along the shore and for a while and then jump into the water and swim from there directly to child. You 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 you run before jumping into the water in order to save the child? Round your answer to three decimal places.
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You are a lifeguard and spot a drowning child 30 meters along the shore and 60 meters from the shore...
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