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Wrong Answers: | |

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### Question 1

Two taps X, Y and Z can fill a tank in 5, 17 and 4 minutes respectively. All the taps are turned on at the same time. After how many minutes is the tank completely filled?

**A**

$1{167/173}$ mins.

**B**

$2{169/172}$ mins.

**C**

${167/175}$ mins.

**D**

$4{159/175}$ mins.

**Soln.**

**Ans: a**

Let the time be x mins. Then sum of works done by X, Y and Z = 1. $x/5 + x/17 + x/4 = 1$. Solving, we get x = $1{167/173}$. 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 2

Two pipes, A and B, can fill a cistern in 5 and 8 mins respectively. There is a leakage tap that can drain 8 liters of water per minute. If all three of them work together, the tank is filled in 15 minutes. What is the volume of the tank?

**A**

$30{30/31}$ liters.

**B**

$33{1/30}$ liters.

**C**

$28{5/33}$ liters.

**D**

$31{10/11}$ liters.

**Soln.**

**Ans: a**

Work done by the leakage in 1 min is $1/5 + 1/8 - 1/15$ = ${31/120}$. This work is equivalent to a volume of 8 liters. So, the total volume is 8 × ${120/31}$ = ${960/31}$, which is same as: $30{30/31}$ liters.

### Question 3

A tank is filled in 19 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?

### Question 4

A bucket can be filled by a tap in 6 minutes. Another tap on the same bucket can empty it in 15 mins. How long will it take to fill the bucket if both the taps are opened together?

### Question 5

Two pipes can together fill a cistern in 7 minutes. How long does the slower alone take if the speeds of the pipes are in the ratio 4 : 1?

### More Chapters | See All...

Pipes and Cisterns | Verification of truth | Statements and Conclusions | Inequalities | Boats and Streams | Essential Part | Mirror Images | Profit and Loss | Hidden Figures | Probability | More...

This Blog Post/Article "Pipes and Cisterns Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-05-05