2022 · Q15
12 women and 16 men can do a piece of work in 5 days. 13 women and 24 men can do it in 4 days. How long will 25 women and 50 men take to do it?
Elementary MathematicsTime and Work
- A1 days
- B2 days
- C3 days
- D4 days
Explanation
Let w, m be the daily outputs of a woman and a man. Then 12w+16m = 1/5 and 13w+24m = 1/4. Subtracting gives w+8m = 1/20; solving yields m = 1/200 and w = 1/100. Hence 25 women and 50 men do 25/100+50/200 = 1/2 of the work per day, so 2 days. The keyed option is B.