Pipes and Cisterns Practice Test 1 with solutions

Question : 40 of 40

Marks: +1, -0

Three pipes A, B and C can fill a tank in 6 hours. After working it at together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. How much time will C take alone to fill the tank?

16 hrs.
14 hrs.
12 hrs.
10 hrs.

Validate

Solution:

In 2 hours the part filled by all the three pipes = 2 ×

1/6

1/3

Remaining part = 1 –

1/3

2/3

, which is filled by (A + B) in 7 hours.
Hence, in 1 hour the part filled by (A + B) =

2/{3×7}

2/{21}

Since, in 1 hour the part filled by C alone =

1/6 - 2/{21}

1/{14}

Therefore, C alone will fill the tank in 14 hours.

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