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    Question

    In a factory, there are 3 machines. Machine A completes

    a task in 8 days, Machine B completes it in 12 days, and Machine C completes it in 15 days. If all machines are working together, how long will they take to complete the task?
    A 40/11 days Correct Answer Incorrect Answer
    B 50/11 days Correct Answer Incorrect Answer
    C 6 days Correct Answer Incorrect Answer
    D 7 days Correct Answer Incorrect Answer

    Solution

    Rate of work of A = 1/8, B = 1/12, C = 1/15 Combined rate of work = 1/8 + 1/12 + 1/15 LCM of 8, 12, and 15 = 120 Combined rate = (15 + 10 + 8)/120 = 33/120  Time taken = 40/11 days Correct Option: a

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