Mathematics

Mathematics

Problem

A lifeguard stands at point A on a straight beach. A swimmer in distress is at point B, which is 60 m directly offshore and 90 m down the shoreline from A. The lifeguard can run at 8 m/s on sand and swim at 2 m/s in water. If the lifeguard runs xx meters along the shoreline before entering the water and then swims straight to B, which value of xx (to the nearest meter) yields the least travel time? a) 72 m72\text{ m} b) 75 m75\text{ m} c) 82 m82\text{ m} d) 45 m45\text{ m}

Browse the problem library