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    ‘A’ takes twice as much time ‘B’ to complete a work and ‘C’ does it in the same time as both ‘A’ and ‘B’ together do it. if all three of them work tog
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    ‘A’ takes twice as much time ‘B’ to complete a work and ‘C’ does it in the same time as both ‘A’ and ‘B’ together do it. if all three of them work together and complete the work in 5 days, then the time taken by ‘B’ to complete the work alone is:

    A.

    12 days

    B.

    4 days

    C.

    15 days

    D.

    18 days

    Correct option is C

    Work done = time × efficiency
    A,B and C takes x, x/2, and x/3 days respectively to finish the work.
    According to question

    6x=1/5
    x = 6 × 5
    x = 30
    Time taken by B = 30/2 = 15 days.

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