2 men can complete a piece of work in 3 days, 3 women can complete it in 4 days, and 4 children can complete it in 6 days. In how many days can 1 man, 1 woman and 2 children together complete the same work?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 3
Fewer people take proportionally longer, so first find the time for one person of each kind.
1 man takes \(2\times3=6\) days, 1 woman \(3\times4=12\) days, 1 child \(4\times6=24\) days
One-day work of 1 man, 1 woman and 2 children \(\displaystyle =\frac{1}{6}+\frac{1}{12}+\frac{2}{24}=\frac{4+2+2}{24}=\frac{1}{3}\)
They complete the work in 3 days.