Question

Tap a can fill the empty tank in 12 hours, but due to a leak in the bottom it is filled in 15 hours, if the tank is full and then tap a is closed then in how many hours the leak can empty it?

Answer 1

60hours is right answer..

Answer 2

Answer: 60 hours,

Step-by-step explanation:

Since, Tap a can fill the empty tank in 12 hours,

⇒ The part of can is filled by the tap in 1 hour = $\frac{1}{12}$

But due to a leak in the bottom it is filled in 15 hours,

Thus, the part of can is filled in one hour when both tap and leakage are open simultaneously

= $\frac{1}{15}$

Thus, the part is emptied in one hour by the tap in one hour when the tap is closed

= $\frac{1}{12}-\frac{1}{15}$

= $\frac{5}{60}-\frac{4}{60}$

= $\frac{1}{60}$

$\frac{1}{60}\text{ part is emptied} = 1 \text{ Hour}$

$\implies 1 \text{ part is emptied} = 16 \text{ Hours}$

⇒ The whole filled can is emptied by the leakage alone = 16 hours