Question

A leak in the bottom of a tank can empty the full tank in $6$ hours. An inlet pipe fills water at the rate of $4$ litres per minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in $8$ hours, then the capacity of the tank is:

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

Answer 1

Answer: (B)

$5760$ L

Work done by the inlet in 1 hour $=\frac{1}{6}.\frac{1}{4}=\frac{1}{24}$

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

$=\frac{1}{1440}$

Volume of$\frac{1}{1440}$ part$=4$ litres
Volume of whole = $(1440\times 4)$litres=$5760$ litres