Alexus is a lifeguard and spots a drowning child 30 meters along the shore and 50 meters from the shore to the child. Alexus runs along the shore for a while and then jumps into the water and swims from there directly to the child. Alexus can run at a rate of 3 meters per second and swim at a rate of 1.2 meters per second. How far along the shore should Alexus run before jumping into the water in order to save the child? Round your answer to three decimal places.
a) 10.000 meters
b) 8.571 meters
c) 12.000 meters
d) 11.111 meters
