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### Question 1

What is the volume of the tank in liters if it measures 5m × 9m × 8m?

### Question 2

A city tanker is filled by two large pipes, X and Y, together in 18 and 12 minutes respectively. On a certain day, pipe Y is used for first half of the time, and both X and Y are used for the second half. How many minutes does it take to fill the tank?

### Question 3

Two pipes can together fill a cistern in 3 minutes. How long does the slower alone take if the speeds of the pipes are in the ratio 4 : 1?

### Question 4

A tank is filled in $1{1/11}$ minutes by three taps running together. Times taken by the three taps to independently fill the tank are in an AP[Arithmetic Progression]. If the first tap is a leakage tap and the second tap takes 1 minute to fill the tank, then, the common difference of the AP can be?

**A**

5.

**B**

6.

**C**

4.

**D**

7.

**Soln.**

**Ans: a**

Let the times taken by the three taps be 1 - d, 1 and 1 + d. The time taken by the first tap will be negative because it is a leakage tap. Then ${12/11}$ minutes work of all the taps should add to 1. So we have, ${12/11}$ × $(1/{1 - d} + 1/1 + 1/{1 + d})$ = 1, which is same as $2/{1 - d^2} + 1$ = ${11/12}$. Solving we get d = ±5.

### Question 5

Three taps R, G and B are supplying red, green and blue colored inks into a tub. They can independently fill the tub in 6, 8 and 6 minutes. They are turned on at the same time. What is the ratio of blue ink after 3 minutes?

**A**

${4/11}$.

**B**

$1{1/2}$.

**C**

${4/13}$.

**D**

$2{11/13}$.

**Soln.**

**Ans: a**

Let the time taken by them to independently fill the tank be r, g and b minutes. Ink discharged by the blue tap is $3/b$. The total of all the inks is $3/r + 3/g + 3/b$. The ratio is ${1/b}/{1/r + 1/g + 1/b}$, which simplifies to ${rg}/{rg + gb + br}$ = ${4/11}$.

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 2018-01-02.