Question

A leak in the bottom of a tank can empty it in $6$ hr. A pipe fills the tank at $4L/min$. When the tank is full, the inlet is opened but due to the leak the tank is emptied in $8$ hrs. What is the capacity of the tank?

• A. $5260L$
• B. $5760L$
• C. $5846L$
• D. $6970L$

Answer 1

The correct option is B $5760L$

Work done by inlet in 1 hour$=\frac{1}{6}-\frac{1}{8}=\frac{1}{24}$

Work done by inlet in 1 min $=\frac{1}{24}\times \frac{1}{60}=\frac{1}{1440}$

$\Rightarrow$Volume of $\frac{1}{1440}$ part $=4$ liters

$\therefore$ Volume of whole $=1440\times 4=5760L$