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?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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