A triathlete on the swimming leg of a triathlon is 150.0 m from the shore (a). The triathlete's bike is 70.0 m from the shore on the land (b). The component of her distance from the bicycle along the shore line, ( x + y in the diagram), is 151.7 m.
A. If the triathlete's running speed is 8.75 m/s and swimming speed is 1.312 m/s, calculate the value of x so that the triathlete reaches her bike in the least amount of time.
B. Calculate the minimum time required to reach the bicycle.
