A triathlete on the swimming leg of a triathlon is 1500 m, Ask an Expert

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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.

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