8 men can complete a piece of work in 20 days 8 women can complete the same work in 32 days In how m...........

Quant (SSC) Time and work

8 men can complete a piece of work in 20 days. 8 women can complete the same work in 32 days. In how many days will 5 men and 8 women together complete the same work?

16 days

12 days

14 days

10 days

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Explanation:

As per the questions,
8 × 20 men = 8 × 32 women
∴ 5 men = 8 women
Now, 5 men + 8 women = 8 + 8 = 16 women
∴ M₁D₁ = M₂D₂
⇒ 8 × 32 = 16 × D₂
⇒ D₂ = 32 x 8 /16 = 16 days