12 men or 18 women can reap a field in 7 days, in what time can 4 men and 8 women reap the same field?
Answers
Answered by
10
Since 12 men can reap the field in 7 days . One man can reap (1/12*7) = (1/84)th field a day.
Since 18 women can reap the field in 7 days . One women can reap (1/18*7) = (1/126)th field a day .
Now we have 4 men and 8 women working . So, the total number of days taken would be the reciprocal of:
4*(1/84)+8*(1/126) = 7/63 = 1/9
Therefore 4 men and 8 women reap the same field in 9 days
Since 18 women can reap the field in 7 days . One women can reap (1/18*7) = (1/126)th field a day .
Now we have 4 men and 8 women working . So, the total number of days taken would be the reciprocal of:
4*(1/84)+8*(1/126) = 7/63 = 1/9
Therefore 4 men and 8 women reap the same field in 9 days
Similar questions