12 men can complete one third of work in 8 days In how many days can 16 men complete the rest of the...........

Quant (SSC) Time and work

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12 men can complete one-third of work in 8 days. In how many days can 16 men complete the rest of the work?

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Explanation:

If M₁ persons can do W₁ works in D₁ days and M₂ persons can do W₂ works in D₂ days then we have a short-trick formula which is M₁D₁W₂ = M₂D₂W₁
Given:
M₁ = 12, D₁ = 8, W₁= 1/3
M₂ = 16, D₂ = ?, W₂ = 1 – 1/3 = 2/3
Now, as
M₁D₁W₂ = M₂D₂W₁
⇒ 12 × 8 × 2/3 = 16 × ? × 1/3
⇒ ? = 12 × 8 × 2 × 3 / 16 x 3 = 12 days.