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Discussion :: Time and Work

  1. A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

  2. A.
    20 days
    B.
    22 1/2 days
    C.
    25 days
    D.
    30 days

    View Answer

    Workspace

    Answer : Option B

    Explanation :

    Ratio of times taken by A and B = 1 : 3.

    The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.

    If difference of time is 2 days, B takes 3 days.

    If difference of time is 60 days, B takes 1-sym-oparen-h1 3 x 60 1-sym-cparen-h1 = 90 days.
    2

    So, A takes 30 days to do the work.

    A's 1 day's work = 1
    30
    B's 1 day's work = 1
    90
    (A + B)'s 1 day's work = 1-sym-oparen-h1 1 + 1 1-sym-cparen-h1 = 4 = 2
    30 90 90 45
     A and B together can do the work in 45 = 22 1 days.
    2 2


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