# a is twice as good a workman as b and is therefore able to finish a piece of work in 40 days .in how many days they can complete the whole work; working together?

### Mohammed

Guys, does anyone know the answer?

get a is twice as good a workman as b and is therefore able to finish a piece of work in 40 days .in how many days they can complete the whole work; working together? from screen.

## A is twice as good a workman as B and together they finish a price of work in 14 days. In how many days can A alone finish the work?

Click here👆to get an answer to your question ✍️ A is twice as good a workman as B and together they finish a price of work in 14 days. In how many days can A alone finish the work?

Question

## A is twice as good a workman as B and together they finish a price of work in 14 days. In how many days can A alone finish the work?

**A**

## 13

**B**

## 15

**C**

## 17

**D**

## 21

Medium Open in App Solution Verified by Toppr

Correct option is D)

Let the work done by B be x.

∴Work done by A =2x

Work done by A and B together in 14 days =1

Work done by A and B together in 1 day =

14 1

⇒ Work done by A in 1 day + Work done by B in 1 day =

14 1 x+2x= 14 1 ⇒3x= 14 1 ⇒x= 42 1

Work done by B in 1 day =

42 1

∴ Work done by A in 1 day =

21 1

Hence, to finish the work, A require 21 days.

Hence, A alone can finish the work in 21 days.

Was this answer helpful?

228 28

## [Solved] A is twice as good a workman as B and is, therefore, able to

Let B can do the work in x days. A can do the work in (x - 30) days. A is twice efficient as compared to B. (x - 30) = x/2 x = 60 days B can do the work in

Home Quantitative Aptitude Time and Work Work Efficiency

## Question

Download Solution PDF

A is twice as good a workman as B and is, therefore, able to finish a piece of work in 30 days less than B. In how many days can they finish the work together?

10 15 20 30

## Answer (Detailed Solution Below)

Option 3 : 20

Crack SSC + Banking + Railways with

India's Super Teachers

FREE

Demo Classes Available*

Explore Supercoaching For FREE

**Free Tests**

View all Free tests >

FREE

General Knowledge and General Awareness Practice Set

60.6 K Users

10 Questions 10 Marks 6 Mins

Start Now

## Detailed Solution

Download Solution PDF

Let B can do the work in x days.

A can do the work in (x - 30) days.

A is twice efficient as compared to B.

(x - 30) = x/2 x = 60 days

B can do the work in 60 days while A can do the work in 30 days.

Total time taken by A and B together to complete the work = 1/(1/60 + 1/30) = 20 days

Download Solution PDF

Share on Whatsapp

Latest SSC CPO Updates

Last updated on Nov 16, 2022

**SSC CPO Tentative Answer Key for the SSC CPO Exam held from 9th to 11th November 2022 has been released.**Candidates can raise objections against the answer key from 16th to 20th November 2022 against a fee of INR. 100 per question. SSC CPO Admit Card Link for CR, NER, MPR Region & Application Status for CR, WR, NR, NER, ER, MPR, KKR, SR Regions active! The Staff Selection Commission had released the exam date for Paper I of the SSC CPO 2022. As per the notice, Paper I of the SSC CPO is scheduled to be held from 9th November to 11th November 2022. The candidates can check out the SSC CPO Exam Analysis to check the difficulty level and good attempts for each shift exam.

Let's discuss the concepts related to Time and Work and Work Efficiency. 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 3.4 Crore+ Students

‹‹ Previous Ques Next Ques ››

## More Work Efficiency Questions

**Q1.**A certain number of men complete a piece of work in 60 days. With 8 more men that work will be completed 10 days earlier. How many men were there in the beginning?

**Q2.**A, B and C together complete a piece of work in 18 days. A alone completes the work in 36 days and B in 60 days. How many days will C take to complete the task alone?

**Q3.**Rajesh types 75 pages in 14 hours. So how many pages can he type in 20 hours?

**Q4.**A and B can complete a piece of work in 30 days, B and C can complete the same piece of work in 24 days, and C and A in 20 days. They all worked together for 10 days, then B and C left work. How many more days will A take to complete the remaining work?

**Q5.**Sohan is a three times better carpenter than Rohan. Sohan takes 60 days less than Rohan to make a sofa. If they work together, how many days will it take them to make the sofa?

**Q6.**A, B and C can complete a piece of work in 729,486 and 1458 days respectively. Working together, they will complete the same work in how many days?

**Q7.**A can do a piece of work in 94 days, B can do in 141 days and C can do same work in 188 days. If on the first day A worked alone and on the second day B and C worked together and on the third day A and C worked together. If they repeat the cycle, then in how many days total work can be completed?

**Q8.**20 women can do a task in 16 days. 16 men can complete the same task in 15 days. What is the ratio of the capacity of a man to a woman?

**Q9.**A can complete a work in 10 days and B in 15 days. If both of them work together, then in how many days will the work be completed?

**Q10.**A completes a piece of work in 6 days, and B completes the same work in 8 days. They are paid Rs. 3,200 for the work. But the complete the work in 3 days with the help of K. How much will K be paid?

## More Time and Work Questions

**Q1.**A certain number of men complete a piece of work in 60 days. With 8 more men that work will be completed 10 days earlier. How many men were there in the beginning?

**Q2.**A, B and C together complete a piece of work in 18 days. A alone completes the work in 36 days and B in 60 days. How many days will C take to complete the task alone?

**Q3.**Hina started peeling 44 potatoes at the rate of 3 potatoes every minute. After four minutes, Chitra also started working with her and she started peeling potatoes at the rate of 5 potatoes every minute. When they are done, how many potatoes will Chitra have peeled?

**Q4.**Rajesh types 75 pages in 14 hours. So how many pages can he type in 20 hours?

**Q5.**Pipe A fills the tank in 4 hours while pipe B empties it in 6 hours. If both the pipes are opened together, it will take _____ time to fill the tank

**Q6.**A completes a work in 12 days and B in 16 days. Both of them took the job for Rs 6,000. With the help of C, they were able to complete the work in 6 days. So what is the share of B in the income?

**Q7.**A and B can complete a piece of work in 30 days, B and C can complete the same piece of work in 24 days, and C and A in 20 days. They all worked together for 10 days, then B and C left work. How many more days will A take to complete the remaining work?

## A is twice as good as B as a workman. A takes 30 days less than B. How many days does both complete the work?

Answer (1 of 9): If A is twice as good as B, and finishes in 30 days, then B must take 2x30, or 60 days. Then: 1/30 + 1/60=3/60=1/20 1/ 1/20=20 days for the two of them to finish a job

A is twice as good as B as a workman. A takes 30 days less than B. How many days does both complete the work?

Ad by Amazon Web Services (AWS)

AWS is how.

AWS removes the complexity of building, training, and deploying machine learning models at any scale.

Sort Louis M. Rappeport

B.S. from University of California, BerkeleyAuthor has 7K answers and 5.1M answer views4y

If A is twice as good as B, and finishes in 30 days, then B must take 2x30, or 60 days. Then:

1/30 + 1/60=3/60=1/20

1/ 1/20=20 days for the two of them to finish a job

Your response is private

Was this worth your time?

This helps us sort answers on the page.

Absolutely not Definitely yes Related questions

A is twice as good as workman B and therefore able to finish a piece of work in 30 days less than B. In how many days can they complete the whole work working together?

A is twice as good as workman as B so he can do a work in 40 days less than B. If they work together, in how many days they can do the work?

A is twice as good a workman as B, and takes 18 days less to do a piece of work than B takes. How long would it take A and B together to finish the work?

A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days can A alone finish the work?

A is twice as good a workman as B and together they complete a work in 15 days. In how many days can the work be completed by B alone?

McDjango Former Student4y

assume A takes dA days to complete individually

assume B takes dB days to complete individually

from the problems, we know

dB=dA+30 ① dB=dA*2 ②

then solve the equations ①&②

we get dB=60 dA=30

assume the efficiency of A is eA, then eA=1/dA

assume the efficiency of B is eB, then eB=1/dB

then we can get the total days td

td=1/(eA+eB)=20 days

Sponsored by Adobe Photoshop

Make anything (or anyone) vanish in just a few clicks. Buh-bye.

Everyone can remove objects with Photoshop.

Megha Rajvanshi 2y E(A)=2E(B)---1 T(A)=T(B)-30---2 T(A)/T(B)=E(B)/E(A)

By putting values from 1 and 2

T(B)=60 T(A)=30

When they work together

T E Work B 60 1 60 A 30 2 Total E=3 Total time =W/E =60/3=20 days Miyuki Nanase

Author has 1.6K answers and 195.5K answer viewsJul 11

If A's efficiency rate is twice of B, than B would take twice as long to complete the same work that A does.

30 days = B's time – A's time

= (2 × A's time) – A's time

= A's time

Looking back at their rate, simultaneously A can finish 2 parts while B only 1 part, for a sum of 3 total parts.

Time taken together

= (ratio of reduced work for A) × (A solo time)

= (2/3) × (30 days) = 20 days Check :

For A, 20 days / 30 days = 2/3 of total work

For B, 20 days / 60 days = 1/3 of total work

2/3 + 1/3 = 1 completed work

Related questions

A is twices as good a workman as B and both can finish a job in 14 days. In how many days will B finish a work alone?

A is 5 times as good as workman as B and therefore is able to complete a job in 60 days less than B. In how many days will they finish it working together?

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

Initial A completes a piece of work in 15 days, but after 3 days he left the work. B did the remaining work in 20 days. In how many days can B alone complete the entire work?

A is twice as good as a workman as B. If together they finish the work in 14 days, then in how many days can it be done separately?

Anthony Hawken

Author has 3.6K answers and 1.3M answer viewsJul 11

This is something you can do in your head.

A work days = 2B work days. That is B takes twice as long to do the work of A.

Difference it takes B - A = 30 days.

60 - 30 = 30.

So A would take 30 days, B would take 60 days on their own.

A + B: together

in 1 day: A completes 1/30th the work, and B completes 1/60th.

So in one day 1/30 + 1/60 = 2/60 + 1/60 = 1/20 th of work completed.

So, 20 days is needed.

Sponsored by USAFIS

This is the best time to apply for the Green Card DV Lottery!

Get a chance to win and apply today! America is waiting for you with many amazing opportunities.

HsBadarinath

Ph.D. in Civil Engineering. Maths keeps one mentally active.Author has 55.9K answers and 35M answer views4y

A is twice as good as B as a workman. A takes 30 days less than B. How many days do both complete the work?

Let B take 60 days to complete the work, working alone. So he does (1/60)th of the work in a day.

A take 30 days to complete the work, working alone. So he does (1/30)th of the work in a day.

(1/60)+(1/30) = (1/60+(2/60) = 3/60 = 1/20

So A and B together will complete the work in 20 days.

Carlos E Aspillera

Lives in Barcelona, Spain (2018–present)Author has 6.9K answers and 1.2M answer viewsFeb 7

( A- 1/30)(x) and B - 1/60(x) ….. !/30(x) + 1/60(x) = 1 Where”x” = 20 days.

Both working together will take 20 days.

Sponsored by Grammarly

Communicate effectively throughout your writing universe.

Guys, does anyone know the answer?