# three pipes a, b and c can fill a cistern in 6 hours. after working at it together for 2 hours, c is closed and a and b can fill the remaining part in 6 hours. the number of hours taken by c alone to fill the cistern is

### Mohammed

Guys, does anyone know the answer?

get three pipes a, b and c can fill a cistern in 6 hours. after working at it together for 2 hours, c is closed and a and b can fill the remaining part in 6 hours. the number of hours taken by c alone to fill the cistern is from screen.

## Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is.

Click here👆to get an answer to your question ✍️ Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is.

Question

## Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is.

**A**

## 10

**B**

## 12

**C**

## 14

**D**

## 16

Easy Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is C)

Part time in 2 hours=6 2 = 3 1 Remaining part=(1− 3 1 )= 3 2 .

∴(A+B)'s 7 hour's work=

3 2

(A+B)'s 1 hour's work=

21 2

∴ C's hour's work={(A+B+C)'s 1 hour's work}−{(A+B)'s 1 hour's work}

=( 6 1 − 21 2 )= 14 1

∴ C alone can fill the tank in 14 hours.

Was this answer helpful?

279 47

## ...

...

### COURSES

CBSE ICSE CAT IAS JEE NEET Commerce JEE Main NCERT JEE Advanced

UPSC Prelims 2022 Question Paper

UPSC Prelims 2022 Answer Key

IAS Coaching CBSE Sample Papers

CBSE Question Papers

### EXAMS

CAT Exam GATE Exam IAS Exam UPSC Exam UPSC Syllabus UPSC 2023 Bank Exam Government Exams Education News

### CLASSES

Kids Learning Class 1st - 3rd Class 4th - 5th Class 6th - 10th Class 11th - 12th

### EXAM PREPARATION

Free CAT Prep Free IAS Prep Maths Physics Chemistry Biology JEE 2023 JEE Main Mock Test

JEE Main 2023 Question Papers with Answers

JEE Main 2022 Question Papers with Answers

JEE Advanced 2022 Question Paper with Answers

NEET 2022 Answer Key

### RESOURCES

Worksheets BYJU'S Answer DSSL Home Tuition All Products Calculators Formulas

### COMPANY

About Us Contact Us

Contact our Financial Partners

Investors Careers BYJU'S in Media

Social Initiative - Education for All

BYJU'S APP FAQ

Students Stories - The Learning Tree

Support

Faces of BYJU'S – Life at BYJU'S

Blog BYJU'S Give

### FREE TEXTBOOK SOLUTIONS

NCERT Solutions NCERT Exemplar

NCERT Solutions for Class 6

NCERT Solutions for Class 7

NCERT Solutions for Class 8

NCERT Solutions for Class 9

NCERT Solutions for Class 10

NCERT Solutions for Class 11

NCERT Solutions for Class 11 English

NCERT Solutions for Class 12 English

NCERT Solutions for Class 12

RD Sharma Solutions

RD Sharma Class 10 Solutions

ICSE Selina Solutions

### STATE BOARDS

Maharashtra Gujarat Tamil Nadu Karnataka Kerala Andhra Pradesh Telangana Uttar Pradesh Bihar Rajasthan Madhya Pradesh West Bengal

### FOLLOW US

Disclaimer Privacy Policy Terms of Services Sitemap

© 2023, BYJU'S. All rights reserved.

## [Solved] Three pipes A, B and C can fill a tank in 6 hours. After wor

Part filled in 2 hours = 2/6 = 1/3 Remaining part = 1 - 1/3 = 2/3 A and B’s 7 hour work = 2/3 A and B’s 1 hour work = 2/21 C’s 1 hour work

Home Quantitative Aptitude Time and Work Pipe and Cistern

## Question

Download Solution PDF

Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:

12 hrs 9 hrs 15 hrs 7 hrs 14 hrs

## Answer (Detailed Solution Below)

Option 5 : 14 hrs

Crack SSC + Banking + LIC Combo with

India's Super Teachers

FREE

Demo Classes Available*

Explore Supercoaching For FREE

**Free Tests**

View all Free tests >

FREE

IBPS Clerk All India Full Mock Test

1.3 Lakh Users

100 Questions 100 Marks 60 Mins

Start Now

## Detailed Solution

Download Solution PDF

Part filled in 2 hours = 2/6 = 1/3

Remaining part = 1 - 1/3 = 2/3

A and B’s 7 hour work = 2/3

A and B’s 1 hour work = 2/21

C’s 1 hour work = (A + B + C) ’s 1 hr work - (A + B) ’s 1 hr work = 1/6 - 2/21 = 1/14

∴ C can fill the tank alone in 14 hours.

Download Solution PDF

Share on Whatsapp

Latest IBPS Clerk Updates

Last updated on Jan 30, 2023

**IBPSC Clerk 2022 Reserve List Out!**IBPS Clerk Exam Dates Out on 16th January 2023. The prelims exam will be held from 26th to 27th August 2023 & 2nd September 2023. The mains exam will be held on 7th October 2023. Candidates must note that this is as per the exam calendar for the 2023 cycle. The selection process for the IBPS Clerk exam consists of two stages - Prelims & Mains exam. A total of 6035 vacancies are available for the process of IBPS Clerk recruitment 2022 and a similar vacancies are expected to be released for 2023 cycle. The finally appointed candidates will be entitled to a pay scale of INR 11,765 to INR 31,540.

Let's discuss the concepts related to Time and Work and Pipe and Cistern. Explore more from Quantitative Aptitude here. Learn now!

India’s **#1 Learning** Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Get Started for Free

Download App

Trusted by 3.8 Crore+ Students

‹‹ Previous Ques Next Ques ››

## More Pipe and Cistern Questions

**Q1.**Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate of 34 litres per minute. P, Q and R operate at a constant rate. If it takes one hour to completely empty a full storage tank with all the pipes operating simultaneously, what is the capacity of the storage tank (in litres)?

**Q2.**Pipe P & Pipe Q can fill a tank in 5 hours and 15 hours respectively. R can empty the same tank in 7.5 hours. How much time will all the three take together to fill the same tank?

**Q3.**Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

**Q4.**A pipe can normally fill a tank alone in 40 days but takes 20 days more due to a leak in the bottom of the tank. In how many days can the leak alone empty half the tank ?

**Q5.**Two pipes can fill a cistern separately in 20 minutes and 40 minutes respectively and a waste pipe can drain off 35 gallons per minute. If all three pipes are opened, the cistern gets filled in an hour. What is the capacity of the cistern?

**Q6.**There are 3 taps A, B, and C in a tank. These can fill the tank in 10 hours, 20 hours and 25 hours, respectively. At first, all three taps are opened simultaneously. After 2 hours, tap C is closed and A and B keep running. After 4 hours from the beginning, tap B is also closed. The remaining tank is filled by tap A alone. Find the percentage of work done by tap A itself.

**Q7.**Tap A can fill a cistern in 212 hours while tap B can empty it in 318 hours. In how many hours the cistern will be filled if both A and B are opened together?

**Q8.**Tap A fills a tank in four hours, and Tap B empties the same tank in six hours. When both of the taps are opened together, the tank will be filled up within

**Q9.**Tap A can fill a cistern in 218 hours while tap B can empty it in 327 hours. In how many hours the cistern will be filled if both A and B are opened together?

**Q10.**Tap A can empty a cistern in 266 hours while tap B can fill it in 399 hours. In how many hours the filled cistern will be emptied if both A and B are opened together?

## More Time and Work Questions

**Q1.**A can do a piece of work in 22 days while B alone can complete the whole work in 26 days. They work together for 5 days then A left the work and remaining work can done by B alone. In how many days will finish the whole work?

**Q2.**5 men and 3 women together or 9 men can cultivate a land in 60 days. Then how many days 8 men and 9 women together cultivate the same land.

**Q3.**P can do a job in 8 days, Q in 12 days and R in 16 days. How many days are required to finish the work by R, if he is assisted by P and Q on every second day?

**Q4.**2 men and 3 boys can do a work in 10 days while 3 men and 2 boys can do a work in 8 days. In how many days, can 2 men and 1 boy do the same work?

**Q5.**A and B can finish a work in 30 days, B and C in 40 days while C and A in 60 days. How long will they take to finish it while working all together?

Guys, does anyone know the answer?