Pumps

The tank is filled with two pumps in 16 minutes. The first pump is filled in 30 minutes earlier than two one. How many minutes is filled with the first pump?

Correct answer:

t₁ =  22.9 min

Step-by-step explanation:

$$\begin{gathered} 16Q_1+16Q_2=1 \\ {Q}_1{t}_1=1 \\ {Q}_2{t}_2=1 \\ {t}_1=t_2-30 \\ {t}_1=22.9\text{ min } \\ {t}_2=52.9\text{ min } \\ {Q}_1=0.0436 \\ {Q}_2=0.0189 \end{gathered}$$

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