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10 men can finish a piece of work in 10 days, whereas it takes 12 women to finish it in 10 days. If 15 men and 6 women undertake to complete the work, how many days will they take to complete it ?
1. 9 days
2. 5 days
3. 10 days
4. 13 days

1 Answer

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Best answer
Correct Answer - Option 2 : 5 days

Given:

10 men can finish a work = 10 days

12 women can finish a work = 10 days

Calculation:

10 men can finish a work = (10 × 10) = 100 days

10 women can finish a work = (12 × 10) = 120 days

1 day work of men = 1/100 days

15 men do a work = 15/100 days

⇒ 3/20 days

1 day work of women = 1/120 days

6 women do a work = 6/120 days

⇒ 1/20 days

So, 15 men and 6 women can do a work together = (3/20 + 1/20)

⇒ 4/20

⇒ 1/5

∴ They will complete the task in 5 days

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