![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?](https://www.gkseries.com/blog/wp-content/uploads/2023/07/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.jpg)
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 |
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
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-133.png)
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; =
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-135.png)
X = 10 hours
Y = 12 hours
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-136.png)