Pipes and Cisterns Practice Test 1 with solutions

Question : 32 of 40

Marks: +1, -0

Three pipes A, B and C are attached to a cistern. The Pipe B alone can fill, cistern in 6 hours, B and C together can fill it in 4 hours and A, B and C together can fill it in

2 2/3

hours. Find the time taken by A and B together to fill the cistern.

$3 3/7$ hours
$4 1/7$ hours
4 hours
$5 2/9$ hours
None of these

Validate

Solution:

Part of cistern filled by B in 1 hour =

1/6

Part of cistern filled by (B + C) in 1 hour =

1/4

Part of cistern filled by (A + B + C) in 1 hour =

3/8

Part of cistern filled by A in 1 hour =

3/8 - 1/4

{3-2}/{8}

1/8

Part of cistern filled by both (A and B) in 1 hour
=

1/8 + 1/6

{3+4}/{24}

7/{24}

So, time taken by A and B together =

{24}/7

3 3/7

hours.

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