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    Question

    A, B and C can individually complete a piece of work in

    24 days, 15 days and 12 days,respectively. B and C started the work and worked for 3 days and left. The number of days required by A alone to complete the remaining work, is:
    A 11 Correct Answer Incorrect Answer
    B 15(1/2) Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 13(1/5) Correct Answer Incorrect Answer

    Solution

    Let the total work be 120 units. (LCM of 24, 15 and 12 is 120.) Efficiency of A = work/time = 120/24 = 5 units/day Efficiency of B = 120/15 = 8 units/day Efficiency of C = 120/12 = 10 units/day Work done by B and C in 3 days = (8 + 10) 3 = 54 units Remaining work = 120 - 54 = 66 units Time taken by A to complete the remaining work = 66/5 = 13(1/5)

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