NIFT UG 2018 Question Paper with solutions

Question : 24 of 150

Marks: +1, -0

Two pipes (A and B) can fill a cistern in

3 {h}

and 4 h, respectively and a waste pipe C can empty it in

2 {h}

. If all the three pipes are kept open, then the cistern will be filled in

Solution:

Given, the cistern filled by

A

3 {h}

, the cistern filled by

B

4 {h}

and the cistern emptied by

C

2 {h}

.
Then, part of the cistern filled in

1 {h}

, when all three pipes are opened

=\;{1}/{3}+\;{1}/{4}-\;{1}/{2}

=\;{4+3-6}/{12}=\;{1}/{12}

Hence, the cistern will be filled in

12 {h}

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