Question

A pump can fill a cistern in 2hours. Due to a leak in the tank it takes 2 1/3 hours to fill it. THE leak can empty the full tank in ​

Answer 1

Answer:

14hrs

Step-by-step explanation:

From question above, the pump takes 2hrs to fill the cistern fully.

So work done per hr by the pump = 1/2

now due to leak the total time ro fill increases to 2.1/3 hrs = 7/3hrs

let the time taken by the leak to empty the tank complete be x

so per hr leakage is 1/x

Now as per the question: (1/2 - 1/x) = 1/(7/3)

1/x = 1/2 - 3/7 = (7-6)/14 = 1/14

x = 14hrs

Hence the leak can empty the complete tank in 14hrs