A swimmer is drowning at B, a distance a/2=10 away from the beach. A lifeguard patrolling along the very edge of the beach spots the swimmer at point A which is a distance a=20m away from the point on the beach that is closest to the drowning swimmer. the average speed of a lifeguard running along the beach is v = 8 metres per second and her average swimming speed is v=v/3

the lifeguard runs along the beach at point C before she starts swimming find the quickest time T in Which the life guard can reach the drowning swimmer.