Points: 1
12 men can complete a piece of work in 4 days. 15 women take 8 days to complete the same
piece of work. How many days will it take for 4 men and 5 women to complete the work?
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Answer:
12 men can complete a piece of work in 4 days
15 women can complete the same work in 4 days
Let the productivity of men be m and the productivity of women be w
Thus,
12m×4=15w×4
=>4m=5w
=>m=
4
5
w
Total work done by women =60w
Work done by 6 men in 2 days =6m×2
=6×
4
5
×2
=15w
Thus, remaining work =60w−15w
=45w
Let F women complete the remaining job in 3 days
Thus, Fw×3=45w
=>F=
3
45
=>F=15
Thus, 15 women are required to complete the job.
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