Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A tap can fill a tank in 2 hours. Because of a leak it took $2{3/8}$ hours to fill the tank. When the tank has been completely filled, the tap is closed. How long will the water last in the tank?

### Question 2

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, 2 and 8 minutes. They are turned on at the same time. What is the ratio of blue ink after 3 minutes?

**A**

${3/19}$.

**B**

$1{2/9}$.

**C**

${1/7}$.

**D**

$2{6/7}$.

**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 ${rg}/{rg + gb + br}$ = ${3/19}$.

### Question 3

Pipe A can fill a cistern in 105 minutes, while the pipe B can fill it in 70 minutes. They are alternately open for 1 minute. How long will it take the cistern to fill completely?

### Question 4

One tap can fill a tank 4 times faster than the other. If they together fill it in 6 minutes, how much time does the slower alone take to fill the tank?

### Question 5

Two taps A and B can fill a tank in 16 and 32 minutes respectively. Both the taps are turned on at the same time. After how many minutes should B be turned off so that the tank can be filled in 12 minutes?

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This Blog Post/Article "Pipes and Cisterns Quiz Set 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.