Question
Abhay, Beer, and Tittu have individual work completion
times of 12 days, 24 days, and 36 days, respectively. They Started working together on a task. After working for only 4 days, Abhay ceased working, and Tittu quit 6 days before the job's conclusion. How many days were needed to complete the job?Solution
ATQ, Let total amount of work to done be 72 units (LCM of 12, 24 and 36) Amount of work done by Abhay in one day = 72/12 = 6 units Amount of work done by Beer in one day = 72/24 = 3 units Amount of work done by Tittu in one day = 72/36 = 2 units Let the work is completed in 'w' days According to question, (6 × 4) + (3 × w) + (2 × (w – 6)) = 72 3w + 2w – 12 = 48 5w = 60 w = 12 days
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