Question

8 women cam complete a work in 10 days and 10 children take 16 days to complete the same work. How many days will 10 women and 12 children take to complete the work ?

• A. 3 days
• B. 4 days
• C. 5 days
• D. 6 days

Answer 1

Answer: (C)

5 days

1 women can complete the work in $(10\times 8)=80days$.

1 child can complete the work in $(16\times 10)=160days$

1 woman's 1 day's work = $\frac{1}{80}$

1 child's 1 day's work = $\frac{1}{160}$

(10 women + 12 children)'s 1 day's work = $(10\times \frac{1}{80}+12\times \frac{1}{160})$

$=(\frac{1}{8}+\frac{3}{40})=\frac{8}{40}=\frac{1}{5}$

Therefore, 10 women and 12 children can complete the work in 5 days.