Aptitude - Pipes and Cistern - Discussion
Discussion Forum : Pipes and Cistern - General Questions (Q.No. 7)
7.
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
Answer: Option
Explanation:
Suppose pipe A alone takes x hours to fill the tank.
| Then, pipes B and C will take | x | and | x | hours respectively to fill the tank. |
| 2 | 4 |
 |
1 | + | 2 | + | 4 | = | 1 |
| x | x | x | 5 |
 |
7 | = | 1 |
| x | 5 |
x = 35 hrs.
Discussion:
33 comments Page 2 of 4.
Suganthi said:
1 decade ago
Please any one help me
B is twice as fast A means
A=X; B=2X isn't it
Then how B = X / 2 will come
B is twice as fast A means
A=X; B=2X isn't it
Then how B = X / 2 will come
Saina said:
1 decade ago
Thanku nitish.
Nick said:
1 decade ago
Why summation is in the form of 1/x + 2/x + 4/x?
It should be x + x/2 + x/4 ?
Isn't it?
It should be x + x/2 + x/4 ?
Isn't it?
Ajay said:
1 decade ago
The question is say that The pipe C is twice as fast as B and B is twice as fast as A i.e means A:B:C = x:2x:4x respectively then why you are take 1/x, 2/x, 4/x.
Harsh Londhe said:
1 decade ago
Try to understand question, question itself has answer.
Let A fill tank in x hrs.
Therefore tank filled in one hrs is 1/x.
And B pipe is twice than A means 2 (1/x).
C pipe is twice than B means 2 (2 (1/x) ) i.e 4/x.
1/x+2/x+4/x = 1/5.
7/x = 1/5.
x = 35 hrs.
Let A fill tank in x hrs.
Therefore tank filled in one hrs is 1/x.
And B pipe is twice than A means 2 (1/x).
C pipe is twice than B means 2 (2 (1/x) ) i.e 4/x.
1/x+2/x+4/x = 1/5.
7/x = 1/5.
x = 35 hrs.
Abhishek said:
1 decade ago
Why summation is not in this form?
X+x/2+x/4 = 1/5.
X+x/2+x/4 = 1/5.
Sagen said:
7 years ago
@Manikandan.
A+B+C together fill the tank in 5 hrs. In 1 hr they together fill ta tank par 1/5 of the tank.
A+B+C together fill the tank in 5 hrs. In 1 hr they together fill ta tank par 1/5 of the tank.
R. Gowtham Raj said:
7 years ago
Here, it should be x + x/2 + x/4.
Manikandan said:
8 years ago
Here how that 1/5 comes?
Bhagyasree said:
8 years ago
@Savitha.
We know that capability of A, B, C.
More capability takes less time to complete the work. it means that strengths is inversely proportional to time.
A + 2A + 4A inversely to x/5(x is some constant)
X = 5*7A .......35A.
35A part work done in......1 hour.
A's total work.................?
So, ? =35hrs.
We know that capability of A, B, C.
More capability takes less time to complete the work. it means that strengths is inversely proportional to time.
A + 2A + 4A inversely to x/5(x is some constant)
X = 5*7A .......35A.
35A part work done in......1 hour.
A's total work.................?
So, ? =35hrs.
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