A pipe can fill the tank in 6 hours but due to leak it takes 30 minute more.…
2026
A pipe can fill the tank in 6 hours but due to leak it takes 30 minute more. Now the tank is full then how much time (in hrs) will it take to empty the tank by the leak ?
- A.
66
- B.
56
- C.
78
- D.
59
Attempted by 719 students.
Show answer & explanation
Correct answer: C
Answer: 78
Let the leak empty the full tank in x hours.
Pipe filling rate = 1/6 tank per hour.
With the leak, the net filling time is 6 hours 30 minutes = 6.5 hours, so net rate = 1/6.5 = 2/13 tank per hour.
Set up the equation: 1/6 - 1/x = 2/13.
Solve for 1/x: 1/x = 1/6 - 2/13 = (13 - 12)/78 = 1/78.
Therefore x = 78 hours. The leak alone would take 78 hours to empty the full tank.