4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women finish it?
Question and options
4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women finish it?
- 24
- 32
- 36
- 40
Answer and explanation
Correct answer: D - 40
8(4m + 6w) = 10(3m + 7w) gives 2m = 22w, so m = 11w. Work = 8(44w + 6w) = 400 woman-days, and 10 women need 40 days.
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