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3 men and 4 women can do a piece of work...

This question belongs to Arithmetic Ability Time And Work
Time and Work
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3 men and 4 women can do a piece of work in 7 days, whereas 2 men and 1 woman can do it in 14 days. 7 women will complete the same work in:

Answer & Solution
Correct Answer: Option A
(3m + 4w) × 7 = (2m + 1w) × 14
3m + 4w = 4m + 2w
m = 2w
m : w = 2 : 1
Total work = (3 × 2 + 4 × 1) × 7 = 70 unit
7w = 70 unit = $$\frac{{70}}{7}$$ = 10 days
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