Problema Solution

a lifeguard spots a drowning swimmer 40 ft. from the beach. She runs 90 ft. along the beach at a speed of 15 feet per second then jumps in the water and swims straight to the swimmer at a speed of 5 feet per second. How long does it take her to reach the swimmer?

Answer provided by our tutors

since speed = distance/time follows time = distance/speed


the time that the lifeguard needs to run: 90/15 = 6 seconds


the time that the lifeguard swims is: 40/5 = 8 seconds


altogether 6 + 8 = 14


the lifeguard needs 14 seconds to reach the swimmer.