Question
Working together, two people can clean an office building in $5 \mathrm{hr}$. One person takes $2 \mathrm{hr}$ longer than the other to clean the building alone. How long would it take the slower worker to clean the building alone? (Let $x$ represent the time of the slower worker.) $$\begin{array}{|l|c|c|c|}\hline & \text { Rate } & \begin{array}{c}\text { Time Working } \\\text { Together }\end{array} & \begin{array}{c}\text { Fractional } \\\text { Part of the } \\\text { Job Done }\end{array} \\\text { Faster } & & & \\\text { Worker } & & & \\\begin{array}{l}\text { Slower } \\\text { Worker }\end{array} & \frac{1}{x} & & \\\hline\end{array}$$
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Then, the faster worker can clean the building alone in $x-2$ hours. Show more…
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