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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

Two taps X, Y and Z can fill a tank in 18, 15 and 11 minutes respectively. All the taps are turned on at the same time. After how many minutes is the tank completely filled?

**A**

$4{146/211}$ mins.

**B**

$5{151/210}$ mins.

**C**

$3{140/213}$ mins.

**D**

$7{44/71}$ mins.

**Soln.**

**Ans: a**

Let the time be x mins. Then sum of works done by X, Y and Z = 1. $x/18 + x/15 + x/11 = 1$. Solving, we get x = $4{146/211}$. Or use the shortcut ${abc}/{ab + bc + ca}$. Another thing, instead of solving the entire calculation, you can keep an eye on the options to find the nearest answer.

### Question 3

Two taps X and Y can fill a tank in 6 and 9 minutes respectively. Both the taps are turned on at the same time. After how many minutes is the tank completely filled?

### Question 4

Two pipes, A and B, can fill a cistern in 11 and 16 mins respectively. There is a leakage tap that can drain 9 liters of water per minute. If all three of them work together, the tank is filled in 17 minutes. What is the volume of the tank?

**A**

$95{43/283}$ liters.

**B**

$96{139/282}$ liters.

**C**

$93{28/57}$ liters.

**D**

$97{44/95}$ liters.

**Soln.**

**Ans: a**

Work done by the leakage in 1 min is $1/11 + 1/16 - 1/17$ = ${283/2992}$. This work is equivalent to a volume of 9 liters. So, the total volume is 9 × ${2992/283}$ = ${26928/283}$, which is same as: $95{43/283}$ liters.

### Question 5

A tank is filled in 4 minutes by three taps running together. Tap A is twice as fast as tap B, and tap B is twice as fast as tap C. How much time will tap A take to fill the tank?

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This Blog Post/Article "Pipes and Cisterns Quiz Set 010" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.