A lifeguard standing at the edge of a 25 meters wide tributary of the Everglades spots a person drowning on the other side, 76 meters downstream.
A. If the lifeguard can swim 0.9 meters/second, how long will she take to swim straight to the drowning
person?
Ignore the speed of the current, the Everglades is the slowest river in the world. Round your answer
to 2 decimals.
seconds
B. If the lifeguard can run three times faster than she swims, how long will she take to first swim
straight across, then run along the bank to the drowning person?
Round your answer to 2 decimals.
seconds
C. If the lifeguards first swims to a point on the opposite bank between the point straight across and the
drowning person, and runs the rest of the way, what is the shortest time she needs to reach the
drowning person?
Ignore the time the lifeguard needs to solve the problem using Calculus. Round your answer to 2
decimals.
seconds