Pipes and Cisterns Quiz Set 006

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Question 1

Tap X can fill the tank in 16 mins. Tap Y can empty it in 12 mins. In how many minutes will the tank be emptied if both the taps are opened together when the tank is $9/18$th full of water?

 A

24 mins.

 B

25 mins.

 C

23 mins.

 D

9 mins.

Soln.
Ans: a

1 filled tank can be emptied in ${16 × 12}/{16 - 12}$ mins. So 9/18 can be emptied in ${16 × 12}/{16 - 12}$ × $9/18$ = 24 mins.


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?

 A

48 mins.

 B

49 mins.

 C

47 mins.

 D

50 mins.

Soln.
Ans: a

Let the total time taken be 2x minutes. Both X and Y run for x mins. So $(x/40 + x/60)$ = 1. Solving for x, we get x = 24, which gives 2x = 48.


Question 3

Tap X can fill the tank in 11 mins. Tap Y can empty it in 5 mins. In how many minutes will the tank be emptied if both the taps are opened together when the tank is $8/10$th full of water?

 A

$7{1/3}$ mins.

 B

$12{1/2}$ mins.

 C

$6{1/3}$ mins.

 D

$6{1/5}$ mins.

Soln.
Ans: a

1 filled tank can be emptied in ${11 × 5}/{11 - 5}$ mins. So 8/10 can be emptied in ${11 × 5}/{11 - 5}$ × $8/10$ = ${22/3}$, which is same as: $7{1/3}$ mins.


Question 4

One tap can fill a tank 2 times faster than the other. If they together fill it in 9 minutes, how much time does the slower alone take to fill the tank?

 A

27 mins.

 B

3 mins.

 C

4 mins.

 D

5 mins.

Soln.
Ans: a

Let the one minute work of the taps be 1/x and 2/x. We have $1/x + 2/x = 1/9$, which gives x = 3 × 9 = 27 mins.


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


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This Blog Post/Article "Pipes and Cisterns Quiz Set 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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