Pipes and Cisterns Practice Test 3 with solutions

Question : 2 of 7

Marks: +1, -0

A tank is connected with two pipes P and Q. P can fill the tank in 3 minutes and Q can empty it in 4 minutes. If both the pipes are opened for two minutes and then Pipe P was alone opened for 2 minutes, then what fraction of tank will remain empty after 4 minutes?

$7/{12}$
$5/6$
$1/{12}$
$1/6$
None of the above

Validate

Solution:

Part of tank filled by A and B in two minutes =

2(1/3-1/4)

2 × 1/{12}

1/6

Part of tank filled by A alone in 2 minutes
=

2 × 1/3

2/3

Part of tank filled in 4 minutes =

1/6 + 2/3

5/6

Part of tank that remains empty =

1/6

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