Aptitude - Pipes and Cistern - Discussion

Discussion Forum : Pipes and Cistern - General Questions (Q.No. 4)
4.
Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:
5 min.
9 min.
10 min.
15 min.
Answer: Option
Explanation:

Let B be turned off after x minutes. Then,

Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1.

x 2 + 1 + (30 - x). 2 = 1
75 45 75

11x + (60 -2x) = 1
225 75

11x + 180 - 6x = 225.

x = 9.

Discussion:
90 comments Page 6 of 9.

Mahesh Patil said:   1 decade ago
Shortcut

(75/2)-30
----------- * 45 = 9 ....after solving
(75/2)

Nags said:   1 decade ago
In (2/75)30+(1/45)x = 1.

Where how 30 will come?

I can't understand.

Hithma said:   7 years ago
I Can't understand this. Please, someone explain to me. clearly.

Ranjit said:   9 years ago
@Arshad 1605.

How the answer 9 came after the step 105/11?

Tapz patel said:   8 years ago
A*(A'work)+B*(B'work)=1,
It means 30(A)+x(B)=1,
Then, x=9.

Priya said:   1 decade ago
Sorry I didn't understood. Please explain me in detail.

Jothigonzi said:   5 years ago
@Abhijeet pol.

Nice and easiest explanation. Thanks.

Neha sharma said:   1 decade ago
@Mahesh Patil.
What's the logic behind the short cut?

Kumar said:   9 years ago
@Arshad1605, Please tell me how 9 came after 105/11?

Vishnupriya said:   1 decade ago
I can't understand still. Can any one say in detail.


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