Maid bed making

Six maids in a hotel make 200 beds in 2 hours.
Calculate how long five equally efficient maids would take to make these beds. Enter the result in minutes.

Calculate how long three equally efficient maids would take to make 100 identical beds. Express the result in hours.

Final Answer:

t₁ =  144 min
t₂ =  2 h

Step-by-step explanation:

$$\begin{gathered} t_0=2\text{h} \\ {T}_0=t_0\to \text{min}=t_0\cdot 60\text{min}=2\cdot 60\text{min}=120\text{min} \\ {t}_1=\frac{6}{5}\cdot T_0=\frac{6}{5}\cdot 120=\frac{6\cdot 120}{5}=\frac{720}{5}=144\text{min} \end{gathered}$$

$t_2=\frac{6}{3}\cdot \frac{100}{200}\cdot t_0=\frac{6}{3}\cdot \frac{100}{200}\cdot 2=2\text{h}$

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