12 men or 18 women can reep a field in 14 days. How many days will 8 men or 16 women take to reep it ??.
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Answered by
1
Answer:
If 12 men or 18 women can do a piece of work in 14 days, then how long will 8 men and 16 women take to finish the work? Therefore, 1 woman can do the same work in 14×8 days. Therefore, 28 women can do the same work in 14×1828 days.
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Answered by
3
Answer:
They will take 9 days to reap the field
12 men can reap the field in 14 days. That means that the average man reaps 1/(12x14) or 1/168 of the field per day, and 8 men reap 8/168, or 1/21 of the field per day.
18 women can reap the field in 14 days. So the average woman reaps 1/(18x14) or 1/252 of the field per day, and 16 women reap 16/252 of the field per day.
1/21 = 12/252
12/252 + 16/252 = 28/252 = 1/9 of the field is reaped by the group each day.
It will take 9 days to reap the field.
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If we think in terms of the fraction of this field that can be reaped by one person in one day, then for a man it is
1/(12*14)
And for a woman (smaller fraction)
1/(18*14)
Therefore to calculate the fraction that can be reaped by the team of 8 men and 16 women we can simply multiply and add, ie
8/(12*14) + 16/(18*14)
= 1/(3*7) + 4/(9*7)
= 3/(9*7) + 4/(9*7)
= 7/(9*7) = 1/9
If the team can reap one nineth of the field in one day then it will take them nine days to reap the whole field.
1/(12*14)
And for a woman (smaller fraction)
1/(18*14)
Therefore to calculate the fraction that can be reaped by the team of 8 men and 16 women we can simply multiply and add, ie
8/(12*14) + 16/(18*14)
= 1/(3*7) + 4/(9*7)
= 3/(9*7) + 4/(9*7)
= 7/(9*7) = 1/9
If the team can reap one nineth of the field in one day then it will take them nine days to reap the whole field.
hope it helps you
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