A 12 m long road can be dug by 18 men in 20 days What is length of road can be dug by 12 men in 15 d...........

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A 12 m long road can be dug by 18 men in 20 days. What is length of road can be dug by 12 men in 15 days?

9 m

8 m

6 m

7 m

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Explanation:

To solve this question, we can apply a short trick approach;
If M₁ persons can do W₁ work in D₁ days and M₂ persons can do W₂ work in D₂ days , then we have a short-trick formula which is M₁D₁W₂ = M₂D₂W₁
Given:
M₁ = 18, D₁ = 20 days, W₁ = 12 m
M₂ = 12, D₂ = 15 days, W₂ = ?
Now, as
M₁D₁W₂ = M₂D₂W₁
⇒ 18 × 20 × ? = 12 × 15 × 12
⇒ ? = 12 × 15 × 12 /18 × 20 = 6 m