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If 6 men working 12 hours a day can construct a rectangular room of measurement 4m × 3m × 2m in 4 days, how many men will be required to construct a rectangular room of measurement 5m × 3m × 1m by working 5 hours a day in 3 days?

If 6 men working 12 hours a day can construct a rectangular room of measurement 4m × 3m × 2m in 4 days, how many men will be required to construct a rectangular room of measurement 5m × 3m × 1m by working 5 hours a day in 3 days? Correct Answer 12

6 men working 12 hours a day and construct a room of dimension 4m, 3m, and 2m in 4 days.

Formula used:

M1 T1 D1/W1 = M2 T2 D2/W2

Where M, T, D, and W represent the number of men, number of hours, number of days, and work done respectively.

Calculation:

M1 = 6; T1 = 12; D1 = 4, W1 = (4 × 3 × 2)

M2 = M2; T2 = 5; D2 = 3, W2 = (5 × 3 × 1)

⇒ (6 × 12 × 4) / (4 × 3 × 2) = (M2 × 5 × 3) / (5 × 3 × 1)

⇒ 12 = M2

∴ Number of men required = 12

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