Question

To do a piece of work 7 children take 11/4 times as long as 11 men and 9 women together but 9 women takes
4/3 more times as long as 11 men and 7 children together take. If 22 men and 18 women and 14 children can
complete the work in 36 days then in how many days 10 women can complete the whole work?​

Answer 1

Step-by-step explanation:

According to question,

(2M +7C)'s 1 day work = 14

It means that 1 work will be finished by (8M + 28C)

Again, (4M + 4C)'s 1 day's work = 13

or 1 work will be completed by 12M + 12C

∴8M + 28C = 12M + 12C

=> M = 4C

∴ 4M + 4C = 5M

Since, 5 M complete a work in 3 days. Then, 1 M will complete it in 5 days