A filter

It is a pool with a volume of 3500 liters. The filter filters at 4m cubic per hour. How many minutes would it filter the entire pool?

Correct answer:

t =  52.5 min

Step-by-step explanation:

$$\begin{gathered} V=3500\text{ l}\to {\text{m}}^3=3500\mathrm{/}1000{\text{m}}^3=3.5{\text{m}}^3 \\ Q=4{\text{m}}^3\text{/h } \\ T=V\mathrm{/}Q=3.5\mathrm{/}4={\displaystyle \frac{7}{8}}=0.875\text{ h } \\ t=T\to \text{ min}=T\cdot 60\text{ min}=0.875\cdot 60\text{ min}=52.5\text{ min}={\displaystyle \frac{105}{2}}\text{ min} \end{gathered}$$

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