2023 · Q34
If 17 women and 24 men can do a piece of work in 5 days and 12 women and 23 men can do it in 6 days, then which one of the following is correct?
Elementary MathematicsTime and Work
- AEfficiency of 13 women = Efficiency of 18 men
- BEfficiency of 11 women = Efficiency of 16 men
- CEfficiency of 13 women = Efficiency of 17 men
- DEfficiency of 11 women = Efficiency of 15 men
Explanation
Equating the work: 5(17w + 24m) = 6(12w + 23m), where w, m are daily outputs. Expanding gives 85w + 120m = 72w + 138m, i.e. 13w = 18m. So the efficiency of 13 women equals that of 18 men (A).