Pipes and Cisterns Practice Test 2 with solutions

Question : 26 of 40

Marks: +1, -0

Two inlet pipes can individually fill a cistern in 15 minutes and 20 minutes respectively. However, it took them 12 minutes to fill the cistern working together because of a leakage at the bottom of the cistern. In how many minutes would the leakage empty the entire filled cistern if the inlet pipes are closed?

30 minutes
20 minutes
15 minutes
25 minutes
27 minutes

Validate

Solution:

Let the leakage takes ‘x’ minutes to empty the full tank.
Part of tank filled when all the three are open
=

1/{15}+1/{20}-1/x

Now

1/{15}+1/{20}-1/x

1/{12}

1/x

1/{15}+1/{20}-1/{12}

1/x

{4+3-5}/{60}

1/x

2/{60}

1/x

1/{30}

So, time taken to empty the full tank = 30 minutes.

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