Boots

Master shoemaker has three apprentices. First, do one pair of boots for two days, second for one day, and third for 1.5 days. How long would it take to make a couple of boots if they worked together?

Final Answer:

x =  11.0769 h

Step-by-step explanation:

$$\begin{gathered} h=\frac{1}{2}+\frac{1}{1}+\frac{1}{1.5}=\frac{13}{6}\doteq 2.1667 \\ h\cdot \frac{x}{24}=1 \\ 2.1666666666667\cdot \frac{x}{24}=1 \\ 2.1666666666667\cdot x/24=1 \\ 2.166667x=24 \\ x=\frac{24}{2.16666667}=11.07692308 \\ x=\frac{144}{13}\doteq 11.076923=11.0769\text{h} \end{gathered}$$

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