In a particular volunteer job, 3 women can do the same work as 5 men or 6 children. Currently, the volunteers include 8 women, 10 men and 14 children, and the project is expected
to last for 7 weeks. After two weeks, they get joined by 5 men, 8 women and 6 children.
How much further time will be required?
Answers
Given : 3 women can do the same work as 5 men or 6 children . the volunteers include 8 women, 10 men and 14 children, and the project is expected to last for 7 weeks.
To find : if After two weeks, they get joined by 5 men, 8 women and 6 children. How much further time will be required
Solution:
Lets say 1 Days work of
3 Women Work = 5 Men Work = 6 Children Work = 30A
=> 1 women work = 10A
1 Man Work = 6A
1 Children work = 5A
8 women, 10 men and 14 children 1 Day work = 8*10A + 10*6A + 14*5A
= 80A + 60A + 70A
= 210A
project is expected to last for 7 weeks. = 7 * 7 = 49 Days
Total Work = 210 A * 49 = 210 * 49 A
Work Done in 2 Weeks = 210 * 14 A
Remaining Work = 210A(49 - 14)
= 210A * 35
5 men, 8 women and 6 children. joined
=> 16 women 15 men & 20 Children
1 Day work = 16 * 10A + 15*6A + 20*5A
= 160A + 90A + 100A
= 350A
Numbers of Days required = 210A * 35 / 350 A
= 21
= 3 Weeks
3 Weeks further time will be required
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