Aptitude - Pipes and Cistern - Discussion
Discussion Forum : Pipes and Cistern - General Questions (Q.No. 11)
11.
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
Answer: Option
Explanation:
Let the slower pipe alone fill the tank in x minutes.
| Then, faster pipe will fill it in | x | minutes. |
| 3 |
 |
1 | + | 3 | = | 1 |
| x | x | 36 |
 |
4 | = | 1 |
| x | 36 |
x = 144 min.
Discussion:
67 comments Page 4 of 7.
Akshatha N said:
8 years ago
Why cannot we take faster pipe=3x, instead of x/3?
Santosh said:
7 years ago
Thanks for explaining @Mahima.
Bangari chowdary said:
5 years ago
Thanks all for explaining.
Mostafizur Rahman said:
5 years ago
1/x + 1/3x = 1/36,
3 + 1/3x = 1/36,
3x = 144.
3 + 1/3x = 1/36,
3x = 144.
Vinoth kumar said:
1 decade ago
@sonu:
if A takes x mins
given tat B works thrice as fast as A
i.e, B takes 1/3 of A's time=x/3
we know tat
1/A+1/b=1/36
1/x+1/(x/3)=1/36
1/x+3/x=1/36
4/x=36
x=4*36
x=144
if A takes x mins
given tat B works thrice as fast as A
i.e, B takes 1/3 of A's time=x/3
we know tat
1/A+1/b=1/36
1/x+1/(x/3)=1/36
1/x+3/x=1/36
4/x=36
x=4*36
x=144
Laxman said:
1 decade ago
The simplest way is.
Together the two pipes can fill in 36 min.
That means the fastest one can fill 36*3=108.
And the slowest one is =108+36=144.
Together the two pipes can fill in 36 min.
That means the fastest one can fill 36*3=108.
And the slowest one is =108+36=144.
Saurav said:
1 decade ago
If i take A =x and B=3x then I am getting 27 min as answer is it wrong?
If I assume x as time then A = 9 and B =27 after calculating x+3x=36 is it wrong? please explain.
If I assume x as time then A = 9 and B =27 after calculating x+3x=36 is it wrong? please explain.
Jamloki said:
1 decade ago
Kailash you are genious.
Dolo said:
1 decade ago
Great kailash.
Kailash said:
1 decade ago
Whenever we say ram works twice as fast as shyam in a given timeframe. it means it takes two shyams to complete that work in that given timeframe because single shyam can only do half of ram's capacity. kindly always keep this common sense in mind while attempting these kind of ques independent of their form.
So solution: one pipe works 3 times faster than other..let name of this pipe A
let name of other pipe (slower)B
B is equivalent to shyam here..so if both pipes can fill one tank in 36 mins. both means A+B and as per our common sense A is equivalent to 3 B's. therefore
(B+B+B)+B = 36
B = 36/4? NOT POSSIBLE
as if 4 people can do a work in 1 min then 1 person will do it in 4*1 mins. coz more people less time and less people more time.
What we understand by this is timse is inversely proportional to work done. therefore if four B's doing it in 36 mins then single B will do it in 4*36 = 144.
So solution: one pipe works 3 times faster than other..let name of this pipe A
let name of other pipe (slower)B
B is equivalent to shyam here..so if both pipes can fill one tank in 36 mins. both means A+B and as per our common sense A is equivalent to 3 B's. therefore
(B+B+B)+B = 36
B = 36/4? NOT POSSIBLE
as if 4 people can do a work in 1 min then 1 person will do it in 4*1 mins. coz more people less time and less people more time.
What we understand by this is timse is inversely proportional to work done. therefore if four B's doing it in 36 mins then single B will do it in 4*36 = 144.
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