Question

30 men working 8 hours per day can dig a pond in 16 days. By working how many hours per day can 32 men dig the same pond in 20 days?
1. 7 hours per day
2. 5 hours per day
3. 8 hours per day
4. 6 hours per day

Answer 1

Correct Answer - Option 4 : 6 hours per day

Given:

30 men working 8 hours per day can dig a pond in = 16 days

Formula:

M₁ × T₁ × D₁ = M₂ × T₂ × D₂

Calculation:

M₁ = 30 men, T₁ = 8 hrs, D₁ = 16 days, M₂ = 32 men, D₂ = 20 days

According to the formula

30 × 8 × 16 = 32 × T₂ × 20

⇒ T₂ = (30 × 8 × 16)/(32 × 20)

∴ T₂ = 6 hrs.