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    Question

    A completes 37.5% of a task in 9 days, B finishes 44.44%

    of the same task in 8 days, and C accomplishes 66.67% in 8 days. How many days will it take for A, B, and C to jointly complete 65% of the task?
    A 3.6 days Correct Answer Incorrect Answer
    B 4.8 days Correct Answer Incorrect Answer
    C 6 days Correct Answer Incorrect Answer
    D 3 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    A will complete whole work in 9 Ă— 8/3 = 24 days B will complete whole work in 8 Ă— 9/4 = 18 days C will complete whole work in 8 Ă— 3/2 = 12 days Let total amount of work = 72 units (LCM of 24, 18 and 12) Efficiency of A, B and C is 3, 4 and 6 respectively 65% of total work = 72 Ă— 0.65 units Desired time taken = (72 Ă— 0.65)/13 = 72 Ă— 0.05 = 3.6 days Hence, option a.

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