4 men and 5 women can complete a work in 8 days The same work can be completed by 2 men and 3 women ...........

Quantitative Aptitude ( CCS) Time and work

4 men and 5 women can complete a work in 8 days. The same work can be completed by 2 men and 3 women in 14 days. In how many days 1 women will complete the work?

32 days

45 days

38 days

56 days

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Explanation:

Solution:
4m + 5w = 8d
So 8 × (4m + 5w) = 8/8 d
32m + 40w = 1 …… (1)
Also given:
2m + 3w = 14d
So 28m + 42w = 1 ……(2)Now equate (1) and (2)
32m + 40w = 28m + 42w
Solve, 2m = 1w
Put in any of equations above.2w + 5w = 8d
7 w in 8 days. So 1 w in 7 × 8 = 56 days