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 ?
Answers
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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Step-by-step explanation:12 men can reap the field in 14 day
⇒ 1 man can reap the field in 12 x 14 = 168 days
⇒ 8 men can reap the field in 168 ÷ 8 = 21 days
⇒ 1 day =1 ÷ 21 = 1/21 of the field
18 women can reap the field in 14 day
⇒ 1 woman can reap the field in 18 x 14 = 252 days
⇒ 16 women can reap the field in 252 ÷ 16 = 15.75 of the field
⇒ 1 day = 1 ÷ 15.75 = 4/63 of the field
So in one day, 12 men and 18 women can reap:
1/21 + 4/63 = 1/9 of the field
Find the number of days needed:
1/9 fo the field = 1 day
9/9 of the field = 1 x 9 = 9 days