12 man or 18 women can reap a field in 14day 8man and 16 women can reap the same field in
Answers
Step-by-step explanation:
Let the amount of task for reaping a be 100%=1
Given 12 men OR 18 women can reap a field in 14 days
∴ In 1 day, 12 men OR 18 women can do 114 of the total work.
∴ 1 man OR 1 woman can do 114×12 and 114×18 ie 1168 and 1252 of the total work respectively.
∴ in 1 day, 8 men and 16 women do 8(1168)+16(1252) ie 19 work.
19 work in 1 day
⇔ 1(ie complete) work in 119=9days .
∴ 8 men and 16 women can reap a field in 9 days.
Let the amount of task for reaping a be 100%=1
Given 12 men OR 18 women can reap a field in 14 days
∴ In 1 day, 12 men OR 18 women can do 114 of the total work.
∴ 1 man OR 1 woman can do 114×12 and 114×18 ie 1168 and 1252 of the total work respectively.
∴ in 1 day, 8 men and 16 women do 8(1168)+16(1252) ie 19 work.
19 work in 1 day
⇔ 1(ie complete) work in 119=9days .
∴ 8 men and 16 women can reap a field in 9 days.