Question

To complete a project 18 women take 4 more days than the number of days taken by 12 men if eight men complete the project in 9 days how much work will be left wgen 15 women and 12 men together work for 3 days

Answer 1

8 men complete the job in 9 days (given)

⇒ 8 men : 1 day : 1/9 of the job

Find the number of days 12 men need to complete the job:

8 men : 1 day : 1/9 of the job

Find the amount of the job 1 man can do in a day:

1 men : 1 day : 1/72 of the job

Find the amount of the job 12 man can do in a day:

12 men : 1 day : 1/6 of the job

Find the number of days 12 men need to complete the job:

12 men : 6 days : 1 job

Find the number of days 18 women need to complete the job:

Given that 18 women need 4 more days that 12 men

12 men : 6 days : 1 of the job

Add 4 days to the days needed:

18 women : 10 days : 1 of the job

Find the amount of work 15 woman an do in a day:

18 women : 10 days : 1 of the job

Find the amount of work 1 woman can do in 10 days:

1 woman : 10 days : 1/18 of the job

Find the amount of work 1 woman can do in 1 days:

1 women : 1 days : 1/180 of the job

Find the amount of work 15 woman can do in 1 days:

15 women : 1 day : 1/12 of the job

Find the amount of work 12 men and 15 women can do in 3 day:

1 day = 1/6 + 1/12 = 1/4

3 days = 1/4 x 3 = 3/4 of the job.

Answer: 12 men and 15 women can finish 3/4 of the jobs in 3 days.