Question

# If $$12$$ men and $$16$$ boys can do a piece of work in $$5$$ days and $$13$$ men and $$24$$ boys can do it in $$4$$ days, how long will $$7$$ men and $$10$$ boys take to do it

Solution

## $$5 (12 M + 16 B) =4 (13 M + 24 B )$$$$60 M + 80 B = 52 M + 96 B$$$$8M = 16 B$$$$\therefore M = 2B$$Now , $$12 M + 16 B$$ Can do work in $$5$$ days So $$12 M + 8 M$$ can do work in $$5$$ days So $$20 M$$ can do work in $$5$$ days.Now, $$7M + 10 B = 7M + 5 M = 12 M$$Hence, if $$20 M$$ can do work in $$5$$ days $$12 M$$ can do work in $$\dfrac{20\times 5}{12}$$$$= 8.33 \,\,days$$Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More