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    Question

    "A" can finish a task in 36 days, while "B" can

    complete it in 45 days. Both start working on the task together, but "A" stops working after "x" days. The entire task is completed in 30 days. Find the value of "x".
    A 12 Correct Answer Incorrect Answer
    B 15 Correct Answer Incorrect Answer
    C 20 Correct Answer Incorrect Answer
    D 10 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let, total amount of work = 180 units (LCM of 36 and 45) Efficiency of A = 180/36 = 5 units per day Efficiency of B = 180/45 = 4 units per day According to question; 9 × x + 4 × (30 – x) = 180 Or, 9x – 4x = 180 – 120 Or, 5x = 60 Or, x = 12

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