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Discussion :: Time and Work

  1. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

    2. A.
    11 days
    B.
    13 days
    C.
    20 3/17 days
    D.
    None of these

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    Workspace

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    Answer : Option B

    Explanation :

    Ratio of times taken by A and B = 100 : 130 = 10 : 13.

    Suppose B takes x days to do the work.

    Then, 10 : 13 :: 23 : x     =>     x = 1-sym-oparen-h1 23 x 13 1-sym-cparen-h1     =>     x = 299 .
    10 10
    A's 1 day's work = 1 ;
    23
    B's 1 day's work = 10 .
    299
    (A + B)'s 1 day's work = 1-sym-oparen-h1 1 + 10 1-sym-cparen-h1 = 23 = 1 .
    23 299 299 13

    Therefore, A and B together can complete the work in 13 days.

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