Benhur

Benhur boiled 1 1/4 liters of water in a kettle. After 10 1/2 minutes he measured the water again. It had 3/4 liters left in the kettle. What is the amount of water that evaporates every minutes?

Correct answer:

w =  0.0476 l/min

Step-by-step explanation:

$$\begin{gathered} V_1=1{\displaystyle \frac{1}{4}}=1+{\displaystyle \frac{1}{4}}={\displaystyle \frac{1\cdot 4+1}{4}}={\displaystyle \frac{5}{4}}=1.25\text{ l } \\ t=10{\displaystyle \frac{1}{2}}=10+{\displaystyle \frac{1}{2}}={\displaystyle \frac{10\cdot 2+1}{2}}={\displaystyle \frac{21}{2}}=10.5\text{ min } \\ {V}_2=3\mathrm{/}4={\displaystyle \frac{3}{4}}=0.75\text{ l } \\ V=V_1-V_2=1.25-0.75={\displaystyle \frac{1}{2}}=0.5\text{ l } \\ w=V\mathrm{/}t=0.5\mathrm{/}10.5={\displaystyle \frac{1}{21}}\text{ l/min}=0.0476\text{ l/min} \end{gathered}$$

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