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# 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?

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### Mohammed

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## 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

B

C

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.

228 28

स्रोत : www.toppr.com

## [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

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

Option 3 : 20

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## Detailed Solution

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

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Last updated on Nov 16, 2022

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## 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 tankQ6. 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?

स्रोत : testbook.com

## 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?

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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

This helps us sort answers on the page.

Absolutely not Definitely yes Related questions

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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

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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

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

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Anthony Hawken

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.

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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.