Question

4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed?

• A. 1 day
• B. 3 days
• C. 2 days
• D. 4 days
• E. None of these

Answer 1

The correct option is A 1 day

1 man can do the work in 8 days.
1 woman can do the work in 16 days.
1 child can do the work in 20 days.
2m + 4w + 10c can do the work in -
$(\frac{2}{8}+\frac{4}{16}+\frac{10}{20})\times d=1$
$⟹(\frac{1}{4}+\frac{1}{4}+\frac{1}{2})\times d=1$
$⟹d=1$