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    Question

    Ravi and Sanjay take 54 days to build a fence. When they

    work along with Rahul, the work gets done in 36 days. Find the time Rahul alone would take to build the fence.
    A 120 days Correct Answer Incorrect Answer
    B 168 days Correct Answer Incorrect Answer
    C 108 days Correct Answer Incorrect Answer
    D 144 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work be 108 units. (LCM of 54 and 36)

    So, combined efficiency of Ravi and Sanjay = 108 ├╖ 54 = 2 units/day

    And efficiency of Ravi, Sanjay and Rahul = 108 ├╖ 36 = 3 units/day

    So, efficiency of Rahul = 3 тАУ 2 = 1 unit/day

    So, required time = 108 ├╖ 1 = 108 days

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