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# Arithmetic Aptitude :: Pipes & Cistern

Home > Arithmetic Aptitude > Pipes & Cistern > General Questions

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41. Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

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Explanation:

Let the cistern be filled by pipe A alone in x hours.

Then, pipe B will fill it in (x + 6) hours.

.'. 1/x + 1/(x + 6) = 1/4

=> (x + 6 + x)/x(x + 6)= 1/4

=> x^2 - 2x - 24 = 0.

=> (x -6)(x + 4) = 0.

=> x = 6. [neglecting the negative value of x]

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42. Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

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Explanation:

Part filled by A in 1 min = 1/20
Part filled by B in 1 min = 1/30.
Part filled by (A + B) in 1 min = 1/20 + 1/30 = 1/12.
therefore, Both pipes can fill the tank in 12 minutes.

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43. A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open then in how many hours the full tank becomes half-full?

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