40 men can build a wall 200 m long in 12 days, working 8h

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40 men can build a wall 200 m long in 12 days, working 8h a day. What will be the number of days that 30 men will take to built a similar wall 300 m long, working 6h per days.

1. 32
2. 18
3. 36
4. 9

Correct Option: A

Given, M₁ = 40, W₁ = 200, T₁ = 8, D₁ = 12,
M₂ = 30, W₂ = 300, T₂ = 6 and D₂ = ?
Then, using formula
M₁T₁D₁W₂ = M₂T₂D₂W₁
⇒ 40 x 8 x 12 x 300 = 30 x 6 x D₂ x 200
∴ D₂ = (40 x 8 x 12 x 300)/(30 x 6 x 200) = 32 days.