Aptitude - Pipes and Cistern - Discussion
Discussion Forum : Pipes and Cistern - General Questions (Q.No. 3)
3.
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2
hours to fill the tank. The leak can drain all the water of the tank in:
hours to fill the tank. The leak can drain all the water of the tank in:Answer: Option
Explanation:
| Work done by the leak in 1 hour = |  |
1 | - | 3 |  |
= | 1 | . |
| 2 | 7 | 14 |
Leak will empty the tank in 14 hrs.
Discussion:
90 comments Page 8 of 9.
Ankit said:
8 years ago
Good explanation. Thank you @Deepi.
Anjali tengli said:
8 years ago
Without leakage it takes 2 hrs.
In 1 hr it take 1/2.
With leakage, it takes 7/3
In 1 hr 1/7/3 I.e. 3/7.
1/2 - 3/7= 11/14.
In 1 hr it take 1/2.
With leakage, it takes 7/3
In 1 hr 1/7/3 I.e. 3/7.
1/2 - 3/7= 11/14.
Murali said:
8 years ago
A pipe can fill a tank in 3 hours. Because of the leak in the bottom, it is filled in 4 hours. If the tank is full, how much time will the leak take to empty it?
Can anyone solve it?
Can anyone solve it?
Champion said:
8 years ago
How can we say that 1/14 part of tank fills in 1 hour and it takes 14 hrs to drain all water?
Sudheer said:
9 years ago
How to substitute this on for answer 1/2-3/7 =1/14?
Praveen said:
9 years ago
Good explanation, Thank you @Mohanapriya.
JISHNU C V said:
9 years ago
@Mouni.
Work done for 1 hr without leak = 1/2,
Time taken to fill the tank with leak = 2 1/3hrs = 7/3 hrs,
Work done with leak in 1 hr = 3/7,
Work done by leak in 1 hr = 1/2 - 3/7 = 1/14,
So, tank will be empty by the leak in 14 hrs.
Work done for 1 hr without leak = 1/2,
Time taken to fill the tank with leak = 2 1/3hrs = 7/3 hrs,
Work done with leak in 1 hr = 3/7,
Work done by leak in 1 hr = 1/2 - 3/7 = 1/14,
So, tank will be empty by the leak in 14 hrs.
Rajeev said:
9 years ago
Here it is mentioned as 2 hrs for the tank and for leak tank time also given 2 hrs instead of 2hrs 20 min. SO I am also confused that how 3/7 comes?
Saiprakash holi said:
9 years ago
Let A take 2hrs to fill.
B take 'x' hrs to empty the tank.
(A-B) per = 2 1/3hrs =7/3.
(A-B) per= Aper -Bper.
1/ (3/7) =1/2 - 1/x.
1/x = 1/2 - 7/3.
x = 14.
B take 'x' hrs to empty the tank.
(A-B) per = 2 1/3hrs =7/3.
(A-B) per= Aper -Bper.
1/ (3/7) =1/2 - 1/x.
1/x = 1/2 - 7/3.
x = 14.
Priyanka sharma said:
1 decade ago
Please tell how it is (1/2 - 3/7) ?
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