Question

12 men can complete a piece of work in 36 days,18 women can complete a piece of work in 60 days.8 men and 20 women work together for 20 days

Answer 1

Step-by-step explanation:

12 men can complete a piece of work in 36 days

=> 1 man can complete the work in 36 × 12 days (∵ less man, more days. inversely proportional)

=> Work done by 1 man in 1 day =

1/36*12

18 women can complete the same piece of work in 60 days

=> 1 woman can complete the work in 60 × 18 days

=> Work done by 1 woman in 1 day =

1/60*18

Work done by 8 men and 20 women in 1 day =

18/36*12 + 20/60*18 + = 1/54+1/54= 1/27

=

Work done by 8 men and 20 women in 20 days = 20/27

Remaining work =

1-20/27= 7/27

Let n women complete this work in 4 days. Then

1/60*18 *n* 4= 7/27

n/15*18= 7/27

n= 15*18*7/27

n=5

Required number of women to complete the remaining work = 70