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# Pipes & Cistern Questions

Home > Quantitative Aptitude > Pipes & Cistern > General Questions
NA
SHSTTON
34
Solv. Corr.
31
Solv. In. Corr.
65
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0 M:40 S
Avg. Time

1 / 4

Choose the correct option.

A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both taps are opened simultaneously, then after how much time will the cistern get filled ?

A5 hours

B4.5 hours

C7.2 hours

D6.5 hours

Explanation:

Time taken by tap A to fill the cistern=4 hrs
so work done by tap A in 1 hour = 1/4th
Time taken by tap B to empty the full cistern = 9 hours
so work done by tap B in 1 hour = 1/9th
=> Work done by (A + B) in 1 hour=(1/4 - 1/9)=5/36
Therefore, the tank will fill the cistern = 36/5 hours=7.2 hours.

Workspace

NA
SHSTTON
5
Solv. Corr.
44
Solv. In. Corr.
49
Attempted
0 M:0 S
Avg. Time

2 / 4

Choose the correct option.

A pump can fill a tank with water in 2 hours. Because of a leak, it took hours to fill the tank. The leak can drain all the water of the tank in:

A7 hours

B8 hours

C12 hours

D14 hours

Explanation:

Work Done by the leak in 1 hrs = (1/2-3/7) = 1/14

so leak will empty the tank in 14 hrs.

Workspace

NA
SHSTTON
10
Solv. Corr.
11
Solv. In. Corr.
21
Attempted
0 M:0 S
Avg. Time

3 / 4

Choose the correct option.

12 buckets of water fill a tank when the capacity of each tank is 13.5 liters. How many buckets will be needed to fill the same tank,if the capacity of each bucket is 9 liters?

A8

B15

C16

D18

Explanation:

Capacity of the tank =(12 x 13.5) liters =162 liters.
Capacity of each bucket =9 liters
Number of buckets needed = 162/9 =18.

Workspace

NA
SHSTTON
27
Solv. Corr.
27
Solv. In. Corr.
54
Attempted
0 M:0 S
Avg. Time

4 / 4

Choose the correct option.

Two pipes can fill a tank in 10 hours and 12 hours respectively while a third, pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time will the tank be filled?

A8.5 hrs.

B6 hrs.

C8 hrs.

D7.5 hrs.

Explanation:

Given, All the pipes are operate simultaneously
=> Tank filled in 1 hrs = 1/10+1/12-1/20 = 16/120 = 2/15
So, time taken to fill the tank = 15/2 = 7.5 hrs.

Workspace

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