If 7 men working 7 hours per day for 7 days produces 42 chairs, then how many chairs 14 men will produce working 14 hours per day for 14 days?

If 7 men working 7 hours per day for 7 days produces 42 chairs, then how many chairs 14 men will produce working 14 hours per day for 14 days? Correct Answer 336

Given:

M1 = 7 men, D1 = 7 days, H₁ = 7 hours, W₁ = 42,

M2 = 14 men, D2 = 14 days, H₂ = 14 hours, W₂ = x

Formula used:

(M1 × D₁ × H₁)/W1 = (M2 × D₂ × H₂)/W₂

Where M1 men can finish W₁ work in H₁ hours per day for D1 days and M2 men can finish the same work in H₂ hours per day for D2 days.

Calculation:

(M1 × D1 × H1)/W1 = (M2 × D2 × H2)/W₂

(7 × 7 × 7)/42 = (14 × 14 × 14)/W₂

⇒ W₂ = 336

∴ There are 336 chairs made by 14 men in 14 hours per day for 14 days.