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### Question 1

A city tanker is filled by two large pipes, X and Y, together in 24 and 16 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 2

Pipe A can fill a cistern in 60 minutes, while the pipe B can fill it in 40 minutes. They are alternately open for 1 minute. How long will it take the cistern to fill completely?

### Question 3

Two ink dispensers discharge ink into a color mixer. The first one can fill it in 21 minutes, whereas the second can fill it in 7 minutes. Both them are opened at the same time, but the second ink dispenser is turned off after 4 minutes. What is the total time required to fill the color mixer cistern?

### Question 4

Three taps R, G and B are supplying red, green and blue colored inks into a tub. They can independently fill the tub in 7, 3 and 6 minutes. They are turned on at the same time. What is the ratio of blue ink after 3 minutes?

**A**

${7/27}$.

**B**

$1{4/13}$.

**C**

${7/29}$.

**D**

$3{1/29}$.

**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 ${rg}/{rg + gb + br}$ = ${7/27}$.

### Question 5

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?

This Blog Post/Article "Pipes and Cisterns Quiz Set 016" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.