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    A, B and C can finish a work in 15 days working alternately in the same order. The efficiency of A is the same as that of B, and the efficiency of C i
    Question

    A, B and C can finish a work in 15 days working alternately in the same order. The efficiency of A is the same as that of B, and the efficiency of C is equal to that of A. In how many days will the work be finished if they work alternately in the order C,A and B ?

    A.

    12

    B.

    14

    C.

    15

    D.

    16

    Correct option is C

    Given:
    ​A, B, and C finish the work in 15 days working alternately.
    The efficiency of A is the same as that of B.
    The efficiency of C is equal to that of A.
    The order in which they work alternately is C, A, and B. 
    Concept Used: 
    work efficiency of doing work is inversely proportional to the time taken to complete the work.
    Solution:
    Efficiency: A = B = C
    A,B, C working alternately finish in 15 days
    ∵ efficiency of all 3 is same
    => Order will not effect
    => Required time = 15 days. ​​

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