Question

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

• A. $5,260L$
• B. $5,760L$
• C. $5,846L$
• D. $6,970L$

Answer 1

Answer: (B)

$5,760L$

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

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

Value of $\frac{1}{1440}$ part=4 litres

Volume of whole=$(1440\times 4)$ litres

=$5760$litres