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 7 of 9.

Joel said:   4 years ago
Shortcut:

2/75 * 30 + x * 1/45 = 1,
x = 9 min.
(38)

Manikant said:   8 years ago
2/75 + 1/45 = 8/225.

How it can be 11/225?

Vini said:   6 years ago
How will A become 2/75, can anyone explain?

Sudhakar p said:   9 years ago
I can't understand please explain clearly.

Sandhiya said:   8 years ago
Can anyone explain how 2/75 comes? please.

Azharudhin said:   9 years ago
Nice explanation @Mahesh Patil. Thank you.

Vishnupriya said:   1 decade ago
Ya I got it now. Thank you Kasi Srinivas.

Abey said:   6 years ago
Thanks for explaining the answer @Kasi.

Satendra singh said:   9 years ago
(30-X) how came? Please explain me.

Venkatesh said:   1 decade ago
Excellent explanation Kasi Srinivas


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