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    Question

    Ishita is 0.5 times more efficient than Evita. If both

    of them work on alternate days starting with Ishita, they can finish the work in 19 days. If Somil alone can complete the work in 48 days, then the number of days taken by Evita and Somil together to complete the entire work.
    A 10 days Correct Answer Incorrect Answer
    B 12 days Correct Answer Incorrect Answer
    C 16 days Correct Answer Incorrect Answer
    D 26 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, The efficiency ratio of Ishita and Evita is = 3:2  Let the number of days taken by Ishita alone be ‘2d’ days and that by Evita be ‘3d’ days respectively.  Ishita alone worked for 10 days and Evita worked for 9 days out of 19 later they are working on alternate days. = 10×(1/2d) + (1/3d) = 1 on solving we get d= 8  Then, Evita alone will take (3 x 8) days to do work = 24 days. The required number of days  (24 x 48)/(24 + 48)  = 16 days 

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