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    Question

    Amit and Ankit can complete a job in 60 days. Working

    together with Sumit, they can finish it in 40 days. How many days would Sumit alone take to complete the work?
    A 120 days Correct Answer Incorrect Answer
    B 168 days Correct Answer Incorrect Answer
    C 188 days Correct Answer Incorrect Answer
    D 114 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work be 120 units. (LCM of 60 and 40)

    So, combined efficiency of Amit and Ankit = 120 ÷ 60 = 2 units/day

    And efficiency of Amit, Ankit and Sumit = 120 ÷ 40 = 3 units/day

    So, efficiency of Sumit = 3 – 2 = 1 unit/day

    So, required time = 120 ÷ 1 = 120 days

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