Question

12 men or 18 women can cut the
crop of a field in 14 days. How many
days will 8 men and 16 women
together take to cut the crops of the
field ?
(RRB, 2009]​

Answer 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.

Step-by-step explanation:

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Answer 2

1 man can reap 1/(12×14)= 1/168 part in 1 day.

1 woman can reap 1/(18×14) = 1/252 part in 1 day.

8 men & 16 women can do 8/168+ 16/252 = {24+32}/504 = 56/504 part = 1/9 part

Hence the no of days taken = 9 days