Five men can do a piece of work in 45 days. Twenty-five women can do the same work in 10 days. How many days will 3 men and 5 women take to do the same work?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 30
Find what one man and one woman do in a day, add up the day's work of the new group, and the time is the whole work divided by it.
5 men take 45 days, so 1 man takes \(5\times45=225\) days and does \(\frac{1}{225}\) of the work a day
25 women take 10 days, so 1 woman takes \(25\times10=250\) days and does \(\frac{1}{250}\) of the work a day
3 men and 5 women in a day: \(\displaystyle\frac{3}{225}+\frac{5}{250}=\frac{1}{75}+\frac{1}{50}=\frac{2+3}{150}=\frac{1}{30}\)
Time \(=\) 30 days