Question

16 workers working 8 hours per day can demolish a building in 32 days. In how many days 24 workers working 12 hours per day can demolish the same building?

• A. 128/3 days
• B. 56/3 days
• C. 128/9 days
• D. 56/9 days

Answer 1

Answer:

C. 128/9 days

Solution: Given: 16 worker workers working 8 hours per day can demolish a building in 32 days. Formula used: (M × D × H)/W = constant Where, M = number of workers D = number of days H = number of hours W = work done Calculation: Let 24 workers working 12 hours per day can demolish the same building in x days According to formula, 16 × 8 × 32/(1) = 24 × 12 × x/(1) ⇒ 9x = 4 × 32 ⇒ x = 128/9 ∴ Number of days required to complete the work is 128/9 days.