A tank can be filled in 10 hours. After a leak in its bottom, it takes 12 hours to fill the tank. Find the time taken by the leak to empty the full tank?

July 28, 2023

Question	A tank can be filled in 10 hours. After a leak in its bottom, it takes 12 hours to fill the tank. Find the time taken by the leak to empty the full tank?
Type	multiple_choice
Option	45 hours	incorrect
Option	60 hours	correct
Option	50 hours	incorrect
Option	55 hours	incorrect

Solution :

Part of the tank filled in one hour before the leak = 1/10

Part of the tank filled in one hour after the leak = 1/12

Part of the tank emptied in one hour by the leak = 1/10 – 1/12

1/60

part of tank will be emptied in one hour by the leak

∴ The full tank will be emptied by the leak in 60 hours.

Solution 2:

Apply formula; =

X = 10 hours

Y = 12 hours