A tank has a leak that will empty it in 17 hours. A tap is opened which enters 12 liters of water in one minute and now the tank is emptied in 24 hours. How many liters will be the tank capacity?

Correct option is D

Given
Leak empties in 17 hours.
Leak + Inlet Tap empties in 24 hours.
Inlet rate = 12 liters/min = 720 liters/hr.

Solution
Work rate of Inlet = $$\frac{1}{17} - \frac{1}{24}$$​ (Difference in emptying rates)
Inlet rate = $$\frac{24 - 17}{17 \times 24} = \frac{7}{408} \text{ of tank/hr}$$​​
Given Inlet rate = 720 liters/hr

​$$Capacity \times \frac{7}{408} = 720\\\ \\Capacity = \frac{720 \times 408}{7} \approx 41965.7$$​​

Rounding to nearest integer: 41966 liters.

Final Answer
So the correct answer is (d)