Pipe A usually fills a tank in 6 hours. But due to a leak at the bottom of the tank, it takes extra 2 hours to fill the tank. If the tank is full, then how much time will it take to get emptied due to the leak?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 24 hours.
Pipe A usually fills a tank in 6 hours
Pipe A and leakage both fill the tank in 6 + 2 = 8 hours
Let the rate at which the leak empties the tank be x
So,
⇒ 1/6 - x = 1/8
⇒ x = 1/6 - 1/8
⇒ x = (4 - 3)/24
⇒ x = 1/24
Since the leak alone empties 1/24 of the tank per hour, it will take:
⇒ 1/(1/24) = 24 hours