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?

• A. 7 hours per day
• B. 5 hours per day
• C. 8 hours per day
• D. 6 hours per day

Answer 1

Answer:

D. 6 hours per day

Solution: 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.