# a and b can do a job in 8 days. a alone can finish the job in 12 days. how long will a take to finish the job alone?

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## A and B together can finish a piece of work in 12 days. If ' A ' alone can finish the same work in 20 days, in how many days B alone can finish it?

Click here👆to get an answer to your question ✍️ A and B together can finish a piece of work in 12 days. If ' A ' alone can finish the same work in 20 days, in how many days B alone can finish it?

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## A and B together can finish a piece of work in 12 days. If 'A' alone can finish the same work in 20 days, in how many days B alone can finish it?

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Updated on : 2022-09-05

Solution Verified by Toppr

Step - 1 : Finding the number of days B needs to finish the work.

Work done by A in 20 days=1 [Assuming complete work to be as 1]

∴Work done by A in 1 day=

20 1

Work done by (A+B) in 12 days=1

∴Work done by (A+B) in 1 day=

12 1

So, work done by B in 1 day = Work done by (A+B) in 1 day - Work done by A in 1 day

= 12 1 − 20 1 = 60 2 = 30 1

Part of work done by B in 1 day =

30 1

Work done by B in 30 days=1

Hence, B takes 30 days to finish the work alone.

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## (A + B) together can complete a job in 8 days. Both B and C working alone can finish the same job in 12 days. A and B commence work on the job and work for 4 days, where upon A leaves, B continues for 2 more days and then he leaves too, C now starts working and finishes the job, how many days will C require ?

(A + B) together can complete a job in 8 days. Both B and C working alone can finish the same job in 12 days. A and B commence work on the job and work for 4

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(A + B) together can complete ...

(A + B) together can complete a job in 8 days. Both B and C working alone can finish the same job in 12 days. A and B commence work on the job and work for 4 days, where upon A leaves, B continues for 2 more days and then he leaves too, C now starts working and finishes the job, how many days will C require ?

Updated On: 27-06-2022

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The correct Answer is 4 days

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## A and B together can finish a job in 8 days. A alone can finish a job in 12 days. How many days will it take B alone to do the same job?

Answer (1 of 14): A takes 12 days to complete a work, hence it completes \dfrac{1}{12} of work in a day. Let's assume B takes x days, so it would complete \dfrac{1}{x} of work in a day. If A and B work together they can complete the given work in 8 days, so they would complete \dfrac{1}{8} of w...

A and B together can finish a job in 8 days. A alone can finish a job in 12 days. How many days will it take B alone to do the same job?

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Sort Eric Paul Essman

RetiredAuthor has 58 answers and 17.3K answer views4y

If A completes 8/12 (2/3) of the job in 8 days, B completes the remaining 1/3. 1/8*1/3 = 1/24 of the job in 1 day. Therefore B working alone would take 24 days to complete the job.

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Sekhar Chowdhury

Studied Master of Business Administration Degrees at Symbiosis Institute of Business Management, Pune (Graduated 2020)Author has 193 answers and 109K answer views4y

Let us solve this in unitary method.

Taking the LCM of the two numbers, let us consider the total number of unit as 24.

Thus A can complete 2 units per day.

Similarly, A & B can complete 3 units per day.

This implies that B will complete 1 unit per day.

As the total number of units is 24, so B will complete the total job in 24 days.

Answer -24 days. Dr Eashan Aneja

Doctor (Intern) at Lok Nayak Hospital (2021–present)Upvoted by

Palak

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Let B alone take x days

12x / ( 12+ x) =8 12x = 96+8x 4x =96 x = 24 days ANSWER Related questions

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HsBadarinath

Former CE, Graduate, PG, Research Scholar and Faculty at Indian Institute of Technology, Roorkee (1964–2000)Author has 52.9K answers and 33.4M answer views4y

A and B do the work in 8 days. It means A and B do 1/8th of the work in a day.

A alone can finish the work in 12 days, means he does 1/12th of the work in a day.

So B does (1/8) -(1/12) = (12–8)/(12*8) = 4/96 or 1/24th part in a day. So B will take 24 days to complete the work, working alone.

Check: A and B together do (1/24) +(1/12) = (1/24) + (2/24) = 3/24 or 1/8th per day. Correct.

B will take 24 days. to do the work, single handed.

K S Narayanan

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A little bit of reasoning is enough to solve this problem.

A alone can finish job in 12 days

A + B can finish job in 8 days

=> A's 4 days work = B's 8 days work.

=> A's 12 days work = B's 24 days work

B will complete work alone in 24 days.

:-) Kara Kalinowski 4y Related

Guys, does anyone know the answer?