An athlete is training for a triathlon and practices transitioning between cycling and swimming. They cycle along a straight path parallel to a pool for a certain distance before diving in to swim the remaining length. The pool is w w m \text{m} long. The athlete cycles at x x m/s \text{m/s} and swims at y y m/s \text{m/s} . If they cycle for z z m \text{m} before swimming to the end of the pool, what is the total time taken to complete the practice?

( z x + w − z y ) seconds \left(\frac{z}{x}+\frac{w-z}{y}\right)\text{seconds}

( x z + w − z y ) seconds \left(\frac{x}{z}+\frac{w-z}{y}\right)\text{seconds}

( z x + w − y z ) seconds \left(\frac{z}{x}+\frac{w-y}{z}\right)\text{seconds}

( z x + w + z y ) seconds \left(\frac{z}{x}+\frac{w+z}{y}\right)\text{seconds}

An athlete is training for a triathlon and practices transitionin...

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