Consumption 18743

With the consumption of 0.4 t of coal per day, the supply lasts for 36 days. How many days will the supply be enough if 16 kg of coal is used less daily?

Correct answer:

t =  37.5 d

Step-by-step explanation:

$$\begin{gathered} m_1=0.4\text{t}\to \text{kg}=0.4\cdot 1000\text{kg}=400\text{kg} \\ 36\cdot m_1=t\cdot (m_1-16) \\ 36\cdot 400=t\cdot (400-16) \\ 384t=14400 \\ t=\frac{14400}{384}=37.5 \\ t=\frac{75}{2}=37.5=37.5\text{d} \end{gathered}$$

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