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### Question 1

Two pipes, A and B, can fill a cistern in 11 and 6 mins respectively. There is a leakage tap that can drain 12 liters of water per minute. If all three of them work together, the tank is filled in 6 minutes. What is the volume of the tank?

### Question 2

A tank is (3/8)^{th} filled with water. When 68 liters of water are added, it becomes (4/5)^{th} filled. What is the capacity of the tank?

### Question 3

Tap X can fill the tank in 18 mins. Tap Y can empty it in 9 mins. In how many minutes will the tank be emptied if both the taps are opened together when the tank is $5/17$^{th} full of water?

### Question 4

Tap X can fill the tank in 16 mins. Tap Y can empty it in 6 mins. In how many minutes will the tank be emptied if both the taps are opened together when the tank is $6/16$^{th} full of water?

### Question 5

Two pipes, A and B, can fill a bucket in 17 and 9 mins respectively. Both the pipes are opened simultaneously. The bucket is filled in 7 mins if B is turned off after how many minutes:

**A**

$5{5/17}$ mins.

**B**

$6{11/16}$ mins.

**C**

$3{16/19}$ mins.

**D**

$7{8/19}$ mins.

**Soln.**

**Ans: a**

Let B be closed after it has been filling for x minutes. Work done by pipes A and B should add to 1. So $7/17$ + $x/9$ = 1. Solving, we get x = ${90/17}$, which is same as: $5{5/17}$.

This Blog Post/Article "Pipes and Cisterns Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.