Question 1
A rectangular fish tank has base area $48\text{ dm}^2$ and water depth $6$ dm. Taps A and B are opened together: A pours in $32$ litres per minute, while B drains $18$ litres per minute. Both taps are closed after 36 minutes. The water depth is then $\frac34$ of the tank's height. What is the tank's height in decimetres? Use $1$ litre $=1\text{ dm}^3$.
