1. 18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field ?
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By: anil on 05 May 2019 01.48 am
18 men 6 hrs a day take 24 days Time taken by 1 man in 1 hour = $$frac{1}{18} imes frac{1}{6} imes frac{1}{24} = frac{1}{2592}$$ 36 boys 6 hours take 24 days Time taken by 1 boy in 1 hour = $$frac{1}{18} imes frac{1}{6} imes frac{1}{24} = frac{1}{2592}$$ => 24 men 9 hours/day will cover = 24 × 9 × 1/2592 = 216/2592 of the field and 24 boys 9 hours/day will cover = 24 × 9 × 1/5184 = 216/5184 of the field Thus, the size of field covered in 1 day by the 24 men and the 24 boys = $$frac{216}{2592}+frac{216}{5184}=frac{(432+216)}{5184}$$ = $$frac{648}{5184}=frac{1}{8}$$ => Ans - (D)
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