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Discussion :: Time and Work

  1. A can finish a work in 10 days and B can finish the same work in 15 days. If they work alternatively, find the time taken to finish the job.
    2. A.
    14 days
    B.
    15 days
    C.
    12 days
    D.
    14.5 days

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    Workspace

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    Answer : Option C

    Explanation :

    Note: Assume the total work = LCM of the given days

    Take the LCM of days = LCM of (10 and 15) = 30
    Let the total work = 30

    Note: One day work = (total work/ days)

    Now,

    A's one day work = 30/10 = 3 unit
    B's one day work = 30/15 = 2 unit

    That means A and B works 5 unit works in 2 days
    i.e., 2 days = 5 unit work

    To complete the 30 work, multiply both sides with 6.
    i.e., 2 days * 6 = 5 unit work * 6

    Or, 12 days = 30 works
    So, A and B require 12 days to finish the work.

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