2020 · Q30
If 6 men and 8 women can do a piece of work in 10 days; and 13 men and 24 women can do the same work in 4 days, then what is the ratio of daily work done by a man to that of a woman?
Elementary MathematicsTime and Work
- A2 : 1
- B1 : 2
- C4 : 3
- D3 : 4
Explanation
Let m, w be the daily work of one man and one woman: 6m + 8w = 1/10 and 13m + 24w = 1/4. Tripling the first equation and subtracting the second gives 5m = 1/20, so m = 1/100. Then 6/100 + 8w = 1/10 gives w = 1/200. Hence m : w = 2 : 1.