Management Aptitude Test Dec 2019 Paper

Question : 88 of 200

Marks: +1, -0

A cistern has a leak which would empty it in

10 {\h}

. A tap is turned on which admits

4 {\L}

a minute into the cistern and it is now emptied in

15 {\h}

. How many litres does the cistern hold?

Solution:

When both pipes are working the part of the cistern empty in

1 {\h}={1}/{15}

The leak can empty

{1}/{10}

of the cistern in

1 {\h}

.
∴ Work done by a filling tap in

1 {\h}

={1}/{10}-{1}/{15}={1}/{30}

So, the cistern is full by the filling tap in

30 {\h}

.
Capacity of the cistern

=

water admitted by the pipe for

30 {\h}

at the rate of

4 {\L} \/ {\min}=30 × 4 × 60 {\L}

=7200 {\L}

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