Pipes and Cisterns Quiz Set 016

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Question 1

Two taps X and Y can fill a tank in 7 and 9 minutes respectively. Both the taps are turned on at the same time. After how many minutes is the tank completely filled?

 A

$3{15/16}$ mins.

 B

$5{4/15}$ mins.

 C

$2{11/18}$ mins.

 D

$6{1/6}$ mins.

Soln.
Ans: a

Let the time be x mins. Then sum of works done by X and Y = 1. $x/7 + x/9 = 1$. Solving, we get x = $3{15/16}$.


Question 2

A tap can fill a tank in 2 hours. Because of a leak it took $3{1/6}$ 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?

 A

$5{3/7}$ hrs.

 B

$7{1/2}$ hrs.

 C

$3{4/9}$ hrs.

 D

$6{5/9}$ hrs.

Soln.
Ans: a

Work done by the leak in one hour is $1/2 - 1/({19/6})$ = $1/2 - 6/19$ = $7/38$. So the leak will complete the whole task in ${38/7}$, which is same as: $5{3/7}$ hours.


Question 3

A bucket can be filled by a tap in 8 minutes. Another tap on the same bucket can empty it in 12 mins. How long will it take to fill the bucket if both the taps are opened together?

 A

24 mins.

 B

25 mins.

 C

23 mins.

 D

9 mins.

Soln.
Ans: a

Net part filling in one hour is $1/x - 1/y$ = $(y - x)/(xy)$. So complete filling occurs in $(xy)/(y - x)$ = ${8 × 12}/{12 - 8}$ = 24 mins.


Question 4

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?

 A

8 mins.

 B

9 mins.

 C

7 mins.

 D

11 mins.

Soln.
Ans: a

Let B be closed after x mins. Then sum of works done by A and B = 1. $12/16 + x/32 = 1$. Solving, we get x = 8.


Question 5

A tank is (2/9)th filled with water. When 64 liters of water are added, it becomes (2/5)th filled. What is the capacity of the tank?

 A

360 liters.

 B

370 liters.

 C

380 liters.

 D

390 liters.

Soln.
Ans: a

Let x be the capacity in liters. ${2x}/9 + 64 = {2x}/5$. Solving, x = 360 liters.


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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 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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