Volume of a tank

A part of the equipment of a city laundry is a water tank. If it is empty, it fills completely with the inlet valve fully open in 24 minutes. If it is full, it empties completely with the outlet valve fully open in 30 minutes. If this outlet valve is fully open for 6 minutes, 4.8 m³ of water will remain in the tank.

a) calculate the volume of the tank in m³
b) the volume of water in litres that can flow into the tank in 1 minute,
c) the volume of water in litres that can flow out of the tank in 1 minute

Final Answer:

V =  6 m³
V₁ =  250 l
V₂ =  200 l

Step-by-step explanation:

$$\begin{gathered} V-6/30\cdot V=4.8 \\ 24V=144 \\ V=\frac{144}{24}=6 \\ V=6=6{\text{m}}^3 \end{gathered}$$

$$\begin{gathered} V_0=V\to \text{l}=V\cdot 1000\text{l}=6\cdot 1000\text{l}=6000\text{l} \\ {V}_1=\frac{1}{24}\cdot V_0=\frac{1}{24}\cdot 6000=\frac{1\cdot 6000}{24}=\frac{6000}{24}=250\text{l} \end{gathered}$$

$V_2=\frac{1}{30}\cdot V_0=\frac{1}{30}\cdot 6000=\frac{1\cdot 6000}{30}=\frac{6000}{30}=200\text{l}$

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