18 men can complete a piece of work in 24 days and 12 women can complete the same piece of work in 32 days. 18 men started working and after few days, 4 men leave the job and 8 women join. if the remaining work is completed in 15 15/23 days, after how many days did the four men leave?
Answers
Given : 18 men can complete a piece of work in 24 days and 12 women can complete the same piece of work in 32 days . 18 men started working and after few days, 4 men leave the job and 8 women join. if the remaining work is completed in 15 15/23 days
To find : after how many days did the four men leave
Solution:
18 men can complete work in 24 Days
=> Total Work = 18 * 24 Man days = 432 Man Days
12 women can complete the same piece of work in 32 days
=> total work = 12 & 32 Woman Days
18 * 24 Man Days = 12 * 32 Woman Days
=> 9 Men = 8 Woman
Let say Man Worked for d Days and then 4 men leave
work Done = 18d Man Days
Now men = 18 - 4 = 14 & 8 woman joined who are equal to 9 Men
=> 14 + 9 = 23 Men Available
Work Done in 15 `15/23 Days (360/23 days) = 23 (360/23) = 360 Man days
18d + 360 = 18 * 24
=> d + 20 = 24
=> d = 4
Hence after 4 days 4 men Leave
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