4 men and 2 women can complete a work in 2 days. If 2 men alone take 5 days to complete the work, find the time taken by 2 women alone to complete the work?
- 20 days
- 8 days
- 10 days
- None of these
Explanation
Step 1:2 men complete the work in 5 days
→ Work of 1 man in 1 day = 1 / (2×5) = 1/10
Step 2:
So, 4 men’s 1-day work = 4 × (1/10) = 2/5
Step 3:
(4 men + 2 women) finish work in 2 days
→ 1-day work = 1/2
Step 4:
Work of 2 women in 1 day = 1/2 − 2/5 = (5−4)/10 = 1/10
→ 1 woman’s 1-day work = 1/20
Step 5:
Hence, 2 women will take = 1 / (2×1/20) = 10 days
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