Question

    32 workers can complete a task in 18 days. They all

    started together, but after how many days should 12 workers quit so that the task gets completed in 27 days?
    A 2 Correct Answer Incorrect Answer
    B 3 Correct Answer Incorrect Answer
    C 5 Correct Answer Incorrect Answer
    D 7 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the efficiency of each worker be 'm' units/day Total work = 32 × 18 × m = 576m units Let after x days, 12 workers quit According to the question: 32 × m × x + 20 × m × (27 − x) = 576m → 32mx + 540m − 20mx = 576m → 12mx = 36m → x = 36 ÷ 12 = 3 So, after 3 days the 12 workers should quit.

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