1. 12 men or 30 boys can complete a work in 72 days. How many days will 48 men and 24 boys will take to complete the same work?
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By: anil on 05 May 2019 02.04 am
Let time taken by 1 man to complete unit work = $$m$$ and by 1 boy = $$bb$$ 12 men complete the work in 72 days, => $$m=frac{1}{12 imes72}$$ Similarly, $$b=frac{1}{30 imes72}$$ Now, time taken by 48 men and 24 boys to complete unit work = $$48m+24b$$ = $$(48 imesfrac{1}{12 imes72})+(24 imesfrac{1}{30 imes72})$$ = $$frac{1}{18}+frac{1}{90}$$ = $$frac{5+1}{90}=frac{1}{15}$$ $$ herefore$$ No. of days taken to finish the work = 15 => Ans - (C)
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