Four men can do a work in 10 days and 5 women can do the same work in 12 days. How many women must work with 3 men to do the same work in 8 days?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 3
The whole work is the same in each case, so measure it in man-days and woman-days and compare the two.
Work \(=4\times10=40\) man-days \(=5\times12=60\) woman-days
So 1 man does the work of \(\displaystyle\frac{60}{40}=1.5\) women
3 men = 4.5 women; with \(x\) more women for 8 days: \((4.5+x)\times8=60\)
\(4.5+x=7.5\), so \(x=3\)