Question
A work can be finished in a day by 20 men, or by 30
women, or by 50 boys. 2 men and 5 boys work on alternate days and 6 women work on all days. If men work on the first day, the work is finished in ____ days.ÂSolution
Let total work = 1 1 day work: 1 man = 1/20 1 woman = 1/30 1 boy = 1/50 Daily fixed work by 6 women: 6 × 1/30 = 1/5 Alternate days: Day 1 (men’s day): 2 men + 6 women = 2/20 + 1/5 = 1/10 + 1/5 = 3/10 Day 2 (boys’ day): 5 boys + 6 women = 5/50 + 1/5 = 1/10 + 1/5 = 3/10 or 3(1/3) So each day they complete 3/10 work.
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