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.

Q: 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.

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.

32
18
36
9

Correct Answer: 32

Explanation:

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.

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