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.