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    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?

    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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    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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    स्रोत : www.toppr.com

    (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

    Home > English > Class 14 > Maths > Chapter > Time & Work >

    (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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    Text Solution Open Answer in App Answer

    The correct Answer is 4 days

    Answer

    Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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    स्रोत : www.doubtnut.com

    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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    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

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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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    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

    Cost Accountant having 24 years Telecom ExperienceAuthor has 6K answers and 9.4M answer views4y

    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

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