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 8 of 9.

Ashu said:   10 years ago
Why x is multiplied by total work?

Guri said:   3 years ago
Good explanation. Thanks everyone.
(5)

Nins said:   1 decade ago
What is the meaning of "1" here?

Kouser said:   9 years ago
Good explanation @Kasi Srinivas.

Raj said:   1 decade ago
Please tell me how we get 2/75?

Subramanya said:   4 years ago
Well explained, Thanks @Nazmul.
(3)

Rekha said:   4 years ago
Well explained, Thanks @Ashwin.
(2)

Shwetha cr said:   1 decade ago
1 indicates complete cistern.

S.MEENAKSHI said:   1 decade ago
Excellent explanation KASI.

Swapna said:   7 years ago
Thank you @Pintu Francis.


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